Units of Weight and Measure

(United States Customary and Metric)

Definitions and Tables

of Equivalents

United States Department of Commerce

National Bureau of Standards

Miscellaneous Publication 233
THE NATIONAL BUREAU OF STANDARDS

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Office, Washington 25, D. C.
Errata to accompany National Bureau of Standards Miscellaneous

Publication 233, Units of Weight and Measure- -Definitions and

Tables of Equivalents

Page 8, Section 6. 2.

Equivalent of 1 square rod is 272. 25 square feet.

Page 10, Section 6.6.

Equivalent of 1 apothecary or troy pound is 5, 760 grains.

Equivalent of 1 kilogram is 15 432. 36 grains.

Page 10, Section 6.7.

Correct spelling: Avoirdupois (3 instances).

Page 17, Section 8. 5.

Correct to read:

Velocity

1 foot per second = 0. 3048 meter per second

1 foot per second = 0. 3048 x 60 meter per minute

1 f + • + 0. 3048 , 1 ioot per minute = meters per second

60

(See appropriate length conversion tables)

Acceleration f 1 foot per second per second = 0. 3048 meter per second per second

1 foot per second per second = 0. 3048 x 60 x 60 meter per minute

per minute

1 foot per minute per minute = gQ x^6 0

me* ers Per second per second

(See appropriate length conversion tables)

December 18, 1961

USCOMM-NBS-DC

UNITED STATES DEPARTMENT OF COMMERCE • Frederick H. Mueller, Secretary NATIONAL BUREAU OF STANDARDS • A. V. Astin, Director

Units of Weight and Measure

(United States Customary and Metric)

Definitions and Tables

of Equivalents

National Bureau of Standards Miscellaneous Publication 233

Issued December 20, 1960

(Supersedes Miscellaneous Publication 214)

For sale by the Superintendent of Documents, U. S. Government Printing Office, Washington 25, D. C.

Price 40 cents
CONTENTS

Page

1. Introduction 1

2. Fundamental equivalents 3

3. Definitions of units 3

3.1 Length 3

3.2 Area 4

3.3. Volume 5

3.4. Capacity 5

3.5. Mass 6

4. Units and standards 6

5. Spelling and abbreviation of units 7

5.1. List of the most common units of weight and measure and their abbreviations 7

6. Tables of interrelation of units of measurement 8

6.1. Length 8

6.2. Area 8

6.3. Volume 8

6.4. Capacity—Liquid measure 8

6.5. Capacity—Dry measure 10

6.6. Mass—Not greater than pounds and kilograms 10

6.7. Mass—Not less than avoirdupois ounces 10

7. Comparison of metric and customary units from 1 to 9 12

7.1. Length 12

7.2. Area 12

7.3. Volume . 12

7.4. Capacity—Liquid measure 13

7.5. Capacity—Dry measure 13

7.6. Mass 13

7.7. Comparison of the various tons and pounds in use in the United States (from 1 to 9

units) . 14

8. Special tables 15

8.1. Length—Inches and millimeters—equivalents of decimal and binary fractions of an

inch, in millimeters, from jfe to 1 inch 15

8.2. Length—Hundredths of an inch to millimeters, from 1 to 99 hundredths 15

8.3. Length—Millimeters to decimals of an inch, from 1 to 99 units 15

8.4. Length—International nautical miles and kilometers 16

8.5. Compound units 17

8.6. Length—Inches to millimeters 18

8.7. Length—Millimeters to inches 22

9. Tables of equivalents from 1 to 999 units 28

9.1. Length—Feet to meters 28

9.2. Length—Meters to feet 30

9.3. Length—Yards to meters 32

9.4. Length—Meters to yards 34

9.5. Length—Miles to kilometers 36

9.6. Length—Kilometers to miles 38

9.7. Area—Acres to hectares 40

9.8. Area—Hectares to acres 42

9.9. Volume—Cubic yards to cubic meters 44

9.10. Volume—Cubic meters to cubic yards 46

9.11. Capacity—Liquid quarts to liters 48

9.12. Capacity—Liters to liquid quarts 50

9.13. Capacity—Gallons to liters 52

9.14. Capacity—Liters to gallons 54

9.15. Mass—Avoirdupois pounds to kilograms 56

9.16. Mass—Kilograms to avoirdupois pounds 58

10. Index 60
Units of Weight and Measure

(United States Customary and Metric)

Definitions and Tables of

Equivalents

L. V. Judson

The units of length, area, volume, capacity, and mass in the United States are defined. Tables of interrelation and tables of equivalents for these units in the metric system and in the U.S. customary system are given. All values in the

text and in the tables have been revised to be in accord with the Federal Register announcement of July 1, 1959, an announcement entitled "Refinement of Values

for the Yard and Pound" in accordance with an agreement among the directors

of National Standards Laboratories of English-speaking nations to obtain uniformity in precise measurements involving the yard and the pound. The long

tables were all recomputed on an automatic computer and printer. Material on

the status of the metric system in the United States was deleted as not being germane to the the main purpose of the publication. The tables showing interr- elation (1 to 999 units) between bushels and hectoliters were deleted. A more

complete table (0.01 to 19.99 units) showing equivalents of inches in millimeters has been added. This is a revision of Miscellaneous Publications 214.

1. INTRODUCTION

This publication supersedes National Bureau of Standards Miscellaneous Publication

214, issued in 1955. Refinements in the definition of U.S. customary units of length and mass

that became effective July 1, 1959 made it desirable to prepare a new publication giving these

revised definitions and the revised tables of equivalents based on them. Two tables that were

probably very little used were deleted and several new tables were added.

In the construction of the tables in this publication, when the fundamental relation of the units furnished directly a reduction factor for use in determining the multiples of the

units, this factor was used in its fundamental form, as for example, that 1 yard = 0.9144

meter. Reduction factors which it was necessary to obtain, however, by multiplication,

division, powers, or roots, etc., of the fundamental relations were usually carried out to a

greater degree of accuracy than that to which it is usually possible to make measurements,

for convenience in computing the multiples to the accuracy desired.

When the tables do not give the equivalent of any desired quantity directly and completely, the equivalent can usually be obtained, without the necessity of making a multiplication of these reduction factors, by using quantities from several tables, making a shift of decimal points, if necessary, and merely adding the results. Thus, if the equivalent of 24 751

feet, 7% inches is required, one proceeds as follows

:

24 700 feet = 100X247 feet = 7 528.560 meter (page 28)

51 feet= 15.545 meter (page 29) 7 inches = 177.8 millimeters = 0.178 meter (page 12)

% inch = 19.050 millimeters = 0.019 meter (page 15)

24 751 feet, 1% inches = 7 544.302 meter

The supplementary metric units are formed by combining the words "meter", "gram",

and "liter" with numerical prefixes, as in the following table:

1
Prefixes Meaning Units

pico- one trillionth

1 0. 000 000 000 001

1 000 000 000 000

nano- one billionth

1

1 000 000 000

0 000 000 001

micro- = one millionth

1

1 000 000

0 000 001

milli- —one thousandth

1

1 000

0 001

centi- =one hundredth

1 100

0 01

Hppi- =znYip fpnih

110 0 1 "meter" for length

Unit = one 1

deka- —ten

10

1 10 "gram" for weight

or mass.

hecto- —one hundred

100

1 100

kilo- =one thousand

1 000

1

1 000 "liter" for capacity

mega- = one million

1 000 000

1

1 000 000

giga- =one billion

1 000 000 000

1 1 000 000 000

tera- =one trillion

1 000 000 000 000

1

1 000 000 000 000

Not all of the 36 possible combinations of the above prefixes and units are in common

use; for example the dekameter and the hectometer are seldom found except in text books.

The first two and the last two of these prefixes are of recent origin. The word "micron" is usually used instead of "micrometer".

All lengths, areas, and cubic measures in the following tables are derived from the inter- national meter, the basic relation between units of the United States customary and the

metric systems being:

1 U.S. yard = 0.9144 meter. Any data expressed in feet derived from and published as a result of geodetic surveys

within the United States will continue to bear the following relationship as defined in 1893:

1200

1 ioot = meter. 3937

The foot unit defined by this equation is referred to as the U.S. Survey Foot. No tables involving this unit are included in this publication. All capacities are based on the equivalent 1 liter equals 1.000 028 cubic decimeters.1 The

decimeter is equal to approximately 3.937 007 9 inches in accordance with the legal equivalent of the yard given above. The gallon referred to in the tables is the United States gallon

1 Formerly this relation was given as 1 liter =1.000 027 cubic decimeters. See Guillaume, La Creation du Bureau International des Poids et Mesure et son Oeuvre, Paris, 1927, pages 256 to 258, for reasons for the change.

2
of 231 cubic inches. The bushel is the United States bushel of 2 150.42 cubic inches. These

units must not be confused with the British units of the same name which differ from those

used in the United States. The British gallon (277.42 cubic inches) is approximately 20

percent larger, and the British bushel (2 219.36 cubic inches) is 3 percent larger than the

corresponding units used in this country.

All weights are derived from the International Kilogram, as authorized in the Mendenhall Order of April 5, 1893.2 The relation used is 1 avoirdupois pound = 453.592 37 grams.3

2. FUNDAMENTAL EQUIVALENTS

In its original conception the meter was the fundamental unit of the metric system, and

all units of length and capacity were to be derived directly from the meter which was in- tended to be equal to one ten-millionth of the earth's quandrant. Furthermore, it was

originally planned that the unit of mass, the kilogram, should be identical with the mass of a cubic decimeter of water at its maximum density. At present, however, the units of length

and mass are defined independently of these conceptions. In October 1960, it was agreed at the Eleventh General (International) Conference on Weights and Measures to redefine the meter in terms of the wavelength of the orange-red

radiation in vacuum of krypton 86 corresponding to the unperturbed transition between

the 2pi0 and 5d5 levels as follows:

1 meter =1 650 763.73 wavelengths.

This corresponds to a wavelength (krypton 86 orange-red) of

6 057.802 1 X 10~7 millimeter.

Thus, as for more than 150 years, the meter bears no definite relation to the earth's quadrant.

From the time of the adoption of the International Prototype Meter in 1889, the meter had

been defined in terms of that standard, a platinum-iridium bar kept at the International

Bureau of Weights and Measures in Sevres, France, a suburb of Paris. At the Seventh

General Conference in 1927 a supplementary relation between the meter and the wavelength of light was adopted. This relation for red cadmium light waves under specified

conditions of temperature, pressure, and humidity was: 1 meter=l 553 164.13 wavelengths.

This corresponds to a wavelength (cadmium red) of 6 438.469 6X10-7 millimeter. The number of wavelengths of the krypton 86 radiation in one meter, 1 650 763.73, was obtained by

comparing interferometrically orange-red krypton 86 radiation with the red cadmium

radiation.

The kilogram is independently defined as the mass of a definite platinum-iridium

standard, the International Prototype Kilogram, which is also kept at the International

Bureau of Weights and Measures. The liter is defined as the volume of a kilogram of water,

at standard atmospheric pressure, and at the temperature of its maximum density, ap- proximately 4°C. The meter is thus a unit on which is based all metric standards and meas- urements of length and area, and of volume derived from linear measurements.

The kilogram is the unit on which are based all metric standards of mass. The liter is a

derived unit of capacity or volume. The liter is larger by about 28 parts per million than the

cube of the tenth of the meter, i. e., the cubic decimeter—that is, 1 liter = 1 .000 028 cubic

decimeters.

3. DEFINITIONS OF UNITS

3.1. LENGTH

Fundamental Units

A meter (m) is a unit of length equal to 1 650 763.73 times the wavelength of the

orange-red radiation of krypton 86 under specified conditions.

A yard (yd) is a unit of length equal to 0.914 4 meter.

2 XT. S. Coast and Geodetic Survey Bulletin 26, Apr. 5, 1893.

3 Federal Register, July 1, 1959.

4 J. R. Benoit, C. Fabry, and A. Perot, Nouvello determination du rapport des longuers d'onde fondamentales aves 1'unite metrique. Trav. et Mem. Bur. Int. Poids et Mesures 15, 131 (1913).

3
Multiples and Submultiples

1 kilometer (km) = 1 000 meters.

1 hectometer (hm) = 100 meters.

1 dekameter (dkm) = 10 meters.

1 'decimeter (dm) =0.1 meter. ^centimeter (cm) =0.01 meter.

1 millimeter (mm) =0.001 meter.

1 micron (M)= 0.000 001 meter = 0.001 millimeter.

1 millimicron (mM) =0.000 000 001 meter = 0.001 micron.

f = 0.000 000 1 millimeter.6

1 angstrom (An = .000 1 micron.

[ = .1 millimicron. = 8 furlongs = 320 rods.

1 statute mile, =176()yards = 5280feet>

1 furlong = | mile = 40 rods = 220 yards = 660 feet.

1 rod = 5| yards = 16^ feet = 25 links.

1 foot = \ yard = 12 inches.

1 hand = 4 inches.

1 inch =-3^ yard = ^2 foot.

1 line (button) =-^ inch.

1 point (printers) =0.013 837 inch = ^ inch (nearly).

1 mil = x o inch.

1 chain (Gunter's)=4 rods = 22 yards = 66 feet = 100 links.

1 link (Gunter's) = x^-q chain = 7.92 inches.

1 international nautical mile = l 852 meters = 6 076.115 49 feet (approximately).6

1 fathom = 6 feet = 8 spans.

1 span = J fathom = 9 inches.

3.2. AREA

Fundamental Units

A square meter (m2

) is a unit of area equal to the area of a square the sides of which are

1 meter. A square yard (yd2

) is a unit of area equal to the area of a square the sides of which are

1 yard.

Multiples and Submultiples

1 square kilometer (km2

) = 1 000 000 square meters.

1 hectare (ha), or square hectometer (hm2

) = 10 000 square meters.

1 are (a), or square dekameter (dkm2) = 100 square meters.

1 centare (ca) = 1 square meter.

1 square decimeter (dm2 ) =0.01 square meter.

1 square centimeter (cm2

) =0.000 1 square meter.

1 square millimeter (mm2

) =0.000 001 square meter. = 640 acres = 102 400 square rods. = 3 097 600 square yards = 27 878 400 square feet.

, N , rt ,

. [ = 160 square rods = 4 840 square yards.

1 acre (acre) = 10 square chains^ . . { = 43 560 square feet. 16 square rods = 484 square yards = 4 356 square feet. = 10 000 square links.

1 square mile (mi2

)

1 square chain (ch2

^

V V H'2V = 0-000 1 square chain = 0.048 4 square yard.

1 square link (u K 0>435 6 gquare foot = 62 .726 4 square inches.

s The angstrom is defined basically as the unit such that 6 438.469 6 of these units equal the wavelength of the red radiation of cadmium under specified conditions.

6 Prior to July 1, 1954 the U.S. nautical mile of 1 853.248 meters =6 080.20 feet was in use in this country.
1 square rod (rd2 ) =30.25 square yards = 272.27 square feet = 625 square links.

1 square foot (ft2 ) =^ square yard = 144 square inches.

1 square inch (in.2

) = 1

2

\ e square yard =3-^4 square foot.

3.3. VOLUME

Fundamental Units

A cubic meter (m3 ) is a unit of volume equal to a cube the edges of which are 1 meter. A cubic yard (yd3 ) is a unit of volume equal to a cube the edges of which are 1 yard.

Multiples and Submultiples

1 cubic kilometer (km3

) = 1 000 000 000 cubic meters.

1 cubic hectometer (hm3

) = 1 000 000 cubic meters.

1 cubic dekameter (dkm3 ) = 1 000 cubic meters.

1 stere (s) = 1 cubic meter.

1 cubic decimeter (dm3 ) =0.001 cubic meter.

1 cubic centimeter (cm3 ) =0.000 001 cubic meter = 0.001 cubic decimeter.

1 cubic millimeter (mm3 ) =0.000 000 001 cubic meter = 0.001 cubic centimeter.

1 cubic foot (ft3 )=^y cubic yard.

1 cubic inch (in.3 ) = i6 l 66 cubic yard =rrrs cubic foot.

1 board foot (fbm) = 144 cubic inches = ^ cubic foot.

1 cord (cd) = 128 cubic feet.

3.4. CAPACITY

Fundamental Units

A liter (liter) is a unit of capacity equal to the volume occupied by 1 kilogram of pure water at its maximum density (at a temperature of 4° C, practically) and under the standard

atmospheric pressure (of 760 mm). It is equivalent in volume to 1.000 028 cubic decimeters.

A gallon (gal) is a unit of capacity equal to the volume of 231 cubic inches. It is used

for the measurement of liquid commodities only.

A bushel (bu) is a unit of capacity equal to the volume of 2 150.42 cubic inches. It is used in the measurement of dry commodities only.7

Multiples and Submultiples

1 hectoliter (hi) = 100 liters.

1 dekaliter (dkl) = 10 liters. 1 deciliter (dl)=0.1 liter.

1 centiliter (cl)=0.01 liter.

1 milliliter (ml) =0.001 liter = 1.000 028 cubic centimeters.

1 liquid quart (liq qt) — I gallon = 57.75 cubic inches.

1 liquid pint (liq pt)=| gallon = \ liquid quart = 28.875 cubic inches.

1 gill (gi) =-pz gallon = £

liquid pint = 7.218 75 cubic inches.

1 fluid ounce (fl oz) =T^g- gallon =^ liquid pint.

1 fluid dram (fl dr) =| fluid ounce =tts- liquid pint.

1 minim (min or im) =^ fluid dram =4^5- fluid ounce.

1 peck (pk)=^ bushel = 537.605 cubic inches.

1 dry quart (dry qt)=^- bushel = | peck = 67.200 625 cubic inches.

1 dry pint (dry pt) =-

B

34

- bushel = J dry quart = 33.600 312 5 cubic inches.

1 barrel, for fruits, vegetables, and other dry commodities, other than cranberries, 8 =

7 056 cubic inches = 105 dry quarts.

1 barrel for cranberries = 5 826 cubic inches. 9

7 This is the so-called stricken or struck bushel. A heaped bushel for apples of 2 747.715 cubic inches was established by the U. S

Court of Customs Appeals on Feb. 15, 1912, in United States i>. Weber (no. 757). A heaped bushel, equivalent to 1M stricken bushels

is also recognized.

8 As fixed by United States standard barrel act (United States Code, title 15, ch. 0, sec. 234).

9 As computed from dimensions fixed by United States standard barrel act, see above. 5
3.5. MASS

Fundamental Units

A kilogram (kg) is a unit of mass equal to the mass of the International Prototype

Kilogram.

A gram (g) is a unit of mass equal to one-thousandth of the mass of the International

Prototype Kilogram.

An avoirdupois pound (lb avdp) is a unit of mass equal to 0.453 592 37 kilogram.

A troy pound (lb t) is a unit of mass equal to ^Hl of that of the avoirdupois pound.

Multiples and Submultiples

1 metric ton (t) = 1 000 kilograms.

1 hectogram (hg) = 100 grams.

1 dekagram (dkg) = 10 grams.

1 decigram (dg)=0.1 gram.

1 centigram (eg) =0.01 gram.

1 milligram (nig) =0.001 gram.

1 metric carat 10 (c) = 200 milligrams = 0.2 gram.

1 avoirdupois ounce (oz avdp)= T^- avoirdupois pound = 437.5 grains.

1 avoirdupois dram (dr avdp) = aire avoirdupois pound avoirdupois ounce.

1 grain (grain) = 7 ooo avoirdupois pound = 5^0 troy pound.

1 apothecaries pound (lb ap) = 1 troy pound = f-^§-°r avoirdupois pound.

1 apothecaries or troy ounce (oz ap or g, oz t)=^ troy pound - 74

0

8

0

°0 avoirdupois

pound = 480 grains.

1 apothecaries dram (dr ap or 5) = gV apothecaries pound = | apothecaries ounce = 60

grains.

1 pennyweight (dwt) = troy ounce = 24 grains.

1 apothecaries scruple (s ap or 3) = | apothecaries dram = 20 grains.

1 short hundredweight (sh cwt) = 100 avoirdupois pounds.

1 long hundredweight = 112 avoirdupois pounds.

1 short ton = 2 000 avoirdupois pounds.

1 long ton = 2 240 avoirdupois pounds.

4. UNITS AND STANDARDS

Units of measurement and standards of measurement must be carefully distinguished

A unit is a value, quantity, or magnitude in terms of which other values, quantities, or magnitude are expressed. In general a unit is fixed by definition and is independent of such

physical conditions as temperature. This publication is concerned with the units of weights

and measures used in the United States, especially with the numerical relations among

various units. A standard is the physical embodiment of a unit. In general a standard is not independent of physical conditions and is the true embodiment of the unit only under specified

conditions. For example, a yard standard has a length of one yard only when at one particular temperature and when supported in a certain manner. If supported in a different manner,

the standard would have to be at a different temperature in order to have s length of exactly one yard.

Some standards are fundamental in their character, and units are defined in terms of these standards. Such standards must be relatively stable in dimensions and other characteristics over long periods of time. The definitions of the units in terms of these standards

10 See National Bureau of Standards Circular C43, The Metric Carat, for a discussion of the metric carat and tables of the

relations of the metric carat to the old carat of 205.3 milligrams in use in this country previous to July 1, 1913.

6
must be very specific. Such a standard is the International Prototype Meter. Different

orders of accuracy and importance, are assigned to other standards such as national standards, scientific laboratory standards, and manufacturers' standards.

Information about suitable standards of weights and measures for specific purposes and

about calibration of such standards by the National Bureau of Standards can be found in other publications of the Bureau or may be obtained directly from the Bureau.

5. SPELLING AND ABBREVIATION OF UNITS

The spelling of the names of units as adopted by the National Bureau of Standards

is that given in the list below. The spelling of the metric units is in accordance with that

given in the law of July 28, 1866, legalizing the metric system in the United States. Following the name of each unit in the list below is given the abbreviation which

the Bureau has adopted. Attention is particularly called to the following principles:

1. The period is omitted after all abbreviations of units, except where the abbreviation

forms an English word.

2. The exponents "2 " and "3 " are used to signify "square" and "cubic", respectively,

instead of the abbreviations "sq" or "cu", which are, however, frequently used in technical

literature for the United States customary units. In conformity with this principle the

abbreviation for cubic centimeter is "cm3 " (instead of "cc" or "c cm"). The term "cubic

centimeter", as used in chemical work, is, in fact, a misnomer, since the unit actually used is the "milliliter", of which the correct abbreviation is "ml" (see p. 1). 3. The use of the same abbreviation for both singular and plural is recommended.

This practice is already established in expressing metric units and is in accordance with

the spirit and chief purpose of abbreviations.

4. It is also suggested that, unless all the text is printed in capital letters, only small

letters be used for abbreviations, except in such case as, A for angstrom, etc., where the use

of capital letters is general.

5.1. LIST OF THE MOST COMMON UNITS OF WEIGHT AND MEASURE AND THEIR

ABBREVIATIONS

Unit Abbreviation Unit Abbreviation Unit Abbreviation

acre acre dram, avoirdupois dr avdp ounce, apothecaries oz'ap or 5

angstrom A dram, fluid fl dr ounce, avoirdupois oz'avdp

are a fathom fath ounce, fluid fl oz avoirdupois avdp foot ft ounce, troy oz t barrel bbl furlong fur. peck pk

board foot fbm gallon gal pennyweight dwt

bushel bu grain grain pint Pt

carat c gram g pound lb centare ca hectare ha pound, apothecaries lb ap

centigram eg hectogram hg pound, avoirdupois lb avdp

centiliter cl hectoliter hi pound, troy lb t centimeter cm hectometer hm quart qt

chain ch hogshead hhd rod

cubic centimeter cm3 hundredweight cwt scruple, apothecaries 8 ap or it) cubic decimeter dm3 inch in. square centimeter cm2 cubic dekameter dkm» kilogram kg square chain ch2 cubic foot ft3 kiloliter Id square decimeter dm2 cubic hectometer hm3 kilometer km square dekameter dkm2 cubic inch in. 3 link li square foot ft2 cubic kilometer km3 liquid liq square hectometer hm2 cubic meter m3 liter liter square inch in. 2 cubic mile mi3 meter m square kilometer km2 cubic millimeter mm3 metric ton t square link li 2 cubic yard yd3 microgram* Mg square meter m2 decigram dg microinch win. square mile mi2 deciliter dl microliter* Ml square millimeter mm2 decimeter dm micron M square rod rd 2 decistere ds mile mi square yard yd2 dekagram dkg milligram mg stere s dekaliter dkl milliliter ml ton ton dekameter dkm millimeter mm ton, metric t dekastere dks millimicron mil troy t dram dr minim min or TIE yard yd

dram, apothecaries dr ap or 5 ounce oz

* The abbreviations y and X for microgram and microliter, respectively, have been advocated by some authorities.

7
6. TABLES OF INTERRELATIC\

6.1. UNITS I

1

Units Inches Links Feet Yards Rods

1 inch I 0 126 262 6 U.Uoo ooo oo (1 (19*7 777 7Q n nop; oc^n fine: U . UUo uou ouo y 1 link 7.92 1 0.66 0.22 0.04

1 foot 12 1 515 152 1 0.333 333 3 0.060 606 06

1 yard 36 4 545 45 3 1 0.181 818 2

1 rod 198 25 16.5 5.5 1

1 chain 792 100 66 22 4

1 mile 63 360 8000 5280 1760 320

1 centimeter 0.393 700 8 0 049 709 70 0.032 808 40 0.010 936 13 0.001 988 388

1 meter 39.370 08 4 970 970 3.280 840 1.093 613 0.198 838 8

1

6.2. UNITS #

Square inches Square links Square feet Square yards Square rods Square chains

1 square inch 1 0.015 942 25 0.006 944 444 0.000 771 604 9 0 000 025 507 60 0 000 001 594 22'

1 square link 62.726 4 1 0.435 6 0.048 4 0 001 6 0 000 1

1 square foot 144 2.295 684 1 0.111 111 1 0 003 673 095 0 000 229 568 4

1 square yard 1296 20.661 16 9 1 0 033 057 85 0 002 066 116

1 square rod 39 204 625 272.75 30.25 1 0 062 5

1 square chain 627 254 10 000 4356 484 16

1 acre 6 272 640 100 000 43 560 4840 160

1 square mile 4 014 489 600 64 000 000 27 878 400 3 097 600 102 400 6

1 square centimeter 0.155 000 3 0.002 471 054 0.001 076 391 0.000 119 599 0 0 000 003 953 686 0 000 000 247 id

1 square meter 1550.003 24.710 54 10.763 91 1.195 990 0 039 536 86 0 002 471 054 ! 1 hectare 15 500 031 247 105.4 107 639.1 11 959.90 395 368 6 24 710 54

6.3. UNITS k

Units Cubic inches Cubic feet Cubic yards

1 cubic inch = 1 0.000 578 703 7 0.000 021 433 47

1 cubic foot = 1728 1 0.037 037 04

1 cubic yard = 46 656 27 1

1 cubic centimeter = 0.061 023 74 0.000 035 314 67 0.000 001 307 951

1 cubic decimeter = 61.023 74 0.035 314 67 0.001 307 951

1 cubic meter = 61 023.74 35.314 67 1.307 951

6.4. UNITS OF CAPACIP

Units Minims Fluid drams Fluid ounces Gills Liquid pints

1 minim = 1 0.016 666 67 0.002 083 333 0 000 520 833 3 0 000 130 208 3

1 fluid dram = 60 1 0.125 0 031 25 0 007 812 5

1 fluid ounce = 480 8 1 0 25 0 062 5

1 gill 1920 32 4 1 0 25

1 liquid pint = 7680 128 16 4 1 1 liquid quart = 15 360 256 32 8

' 2| 1 gallon = 61 440 1024 128 32 a 1 cubic inch = 265.974 0 4.432 900 0.554 112 6 0 138 528 1 0 034 632 03

1 cubic foot = 459 603.1 7660.052 957.506 5 239 376 6 59 844 16

1 milliliter = 16.231 19 0.270 519 8 0.033 814 97 0 008 453 742 0 002 113 436

1 liter 16 231.19 270.519 8 33.814 97 8 453 742 2 113 436

8
01 UNITS OF MEASUREMENT

LHGTH

Chains Miles Centimeters Meters Units

3.001 262 626 0.000 015 782 83 2.54 0.025 4 = 1 inch

0.01 0.000 125 20.116 8 0.201 168 = 1 link 5.015 151 52 0.000 189 393 9 30.48 0.304 8 = 1 foot 3.045 454 55 0.000 568 181 8 91.44 0.914 4 = 1 yard

0.25 0.003 125 502.92 5.029 2 = 1 rod

1 0.012 5 2011.68 20.116 8 = 1 chain 80 1 160 934.4 1609.344 = 1 mile 3.000 497 097 0 0.000 006 213 712 1 0.01 = 1 centimeter

3.049 709 70 0.000 621 371 2 100 1 = 1 meter

A] 2A

Acres Square miles Square centimeters Square meters Hectares Units

3 000 159 422 5 0.000 000 000 249 097 7 6.451 6 0.000 645 16 0.000 000 064 516 = 1 square inch

0 01 0.000 000 015 625 404.685 642 24 0.040 468 564 224 0.000 004 046 856 422 4 = 1 square link

0 022 956 84 0.000 000 035 870 06 929.030 4 0.092 903 04 0.000 009 290 304 = 1 square foot

0 206 611 6 0.000 000 322 830 6 8 361.273 6 0.836 127 36 0.000 083 612 736 = 1 square yard

16 25 0.000 009 765 625 252 928.526 4 25.292 852 64 0.002 529 285 264 = 1 square rod

0.000 156 25 4 046 856.422 4 404.68 5 642 24 0.040 468 564 224 = 1 square chain

1 0.001 562 5 4 0 468 564.224 4046.856 422 4 0.404 68 5 64 2 24 = 1 acre 640 1 25 899 881 103.36 2 589 988.110 336 258.998 811 033 6 = 1 square mile

0 000 024 710 54 0.000 000 000 038 610 22 1 0.0001 0.000 000 01 = 1 square

centimeter

0 247 105 4 0.000 000 386 102 2 10 000 1 0.000 1 = 1 square meter

'1054 0.003 861 022 100 000 000 10 000 1 = 1 hectare

V'LUME

Cubic Centimeters Cubic decimeters Cubic meters Units

16.387 064 0.016 387 064 0.000 016 387 064 = 1 cubic inch

28 316.846 592 28.316 846 592 0.028 316 846 592 = 1 cubic foot 764 554.857 984 764.554 857 984 0.764 554 857 984 = 1 cubic yard

1 0.001 0.000 001 = 1 cubic centimeter

1 000 1 0.001 = 1 cubic decimeter

1 000 000 1000 1 = 1 cubic meter

l:)utd measure

Liquid quarts Gallons Cubic inches Cubic feet Milliliters Liters Units

000 065 104 17 0.000 016 276 04 0.003 759 766 0.000 002 175 790 0.061 609 79 0.000 061 609 79 = 1 minim

003 906 25 0.000 976 562 5 0.225 585 9 0.000 130 547 4 3.696 588 0.003 696 588 = 1 fluid dram

031 25 0.007 812 5 1.804 687 5 0.001 044 379 29.572 70 0.029 572 70 = 1 fluid ounce

125 0.031 25 7.218 75 0.004 177 517 118.290 8 0.118 290 8 = 1 gill 5 0.125 28.875 0.016 710 07 473.163 2 0.473 163 2 = 1 liquid pint

1 0.25 57.75 0.033 420 14 946.326 4 0.946 326 4 = 1 liquid quart 4 1 231 0.133 680 6 3 785.306 3.785 306 = 1 gallon 017 316 02 0.004 329 004 1 0.000 578 703 7 16.386 61 0.016 386 61 = 1 cubic inch

922 08 7.480 519 1728 1 28 316.05 28.316 05 = 1 cubic foot 001 056 718 0.000 264 179 4 0.061 025 45 0.000 035 315 66 1 0.001 = 1 milliliter 056 718 0.264 179 4 61.025 45 0.035 315 66 1000 1 = 1 liter

9

Units Inches Links Feet Yards

Kadi

1 inch llink

1 foot =

1 yard "

1 rod

1 chain

1 mila

1 centimeter =

1 meter =

17.92

36 198 792

63 3600.393 700 8

39.370 08

0.126 262 6

1.615 152

4 545 45

25 100 8000 0.049 709 70

4.970 970

0.083 333 33 0.66

13 16.6

66 6280 0.032 808 40 3.280 840

0.027 777 78 0.22 0.333 333 3

1 6.6

22 1760 0.010 936 13 1.093 013

0.005 K0 505 0.61

0.060 606 oe 0.181 818 J

1

1

111 0.001 8SS SSS 0.198 838 8 I

6. TABLES OF INTERR&ATI()5 j 0F UNITS OF MEASUREMENT

1 lENGTH

Chains Miles Centimeters Meters

Units

0.001 262 626

0,01

0 015 151 52

0.045 454 55

0.25

I 80

0.000 497 097 0

0.049 709 70

0.000 015 782 83 0.000 125 0.000 189 393 9 0.000 568 181 8

0.003 125 0.012 5

1 0.000 000 213 712 0.000 621 371 2

2.54 20.116 8 30.48

91.44 502.92

2011.68

160 934.4

1 100

0.025 4 0.201 168 0.304 8

0.914 4 5.029 2 20.116 8 1609.344

0.01

1

= 1 inch "1 link

•=1 loot = 1 yard = 1 rod = 1 chain = 1 mile =1 centimeter 1 meter

AREA

Square inches Square links Square feet Square yards Squsre rods Squarechaia!

1 square inch -- 1 0.015 942 25 0.006 944 444 0.000 771 604 9 0.000 025 507 60 0.000 001 591 !J5

1 square link 62.726 4 1 0.435 6 0.048 4 0.001 6 0.000 1

1 square foot = 144 2.295 684 1 0.111 111 1 0.003 673 095 0.000 229 5631

1 square yard = 1296 20.661 16 9 1 0.033 057 85 0.00! oeo IK

1 square rod = 39 204 625 272.75 30.25 1 0.06! 6

1 square chain - 627 264 10 000 4356 484 16

6 272 640 100 000 43 560 4840 160

1 square mile 4 014 489 600 I

64 000 000 27 878 400 3 097 600 102 400

1 square centimeter = 0.155 000 3 0.002 471 054 0.001 076 391 0.000 119 599 0 0.000 003 953 680 0.000 000 247 1(6 4

1 square meter = 1550.003 24.710 54 10.763 91 1.195 990 0.039 536 86 0.002 471051

J 1 hectare => 15 500 031 247 105.4 107 639.1 11 959.90 395.368 6 24.710 51

.000000159 422 6

.000 01 0,000022 956 84

.000000 024 71054

1.000247 105 4

U71 054

0.000 000 000 249 097 7 O.000 000 015 625 0.000 000 035 870 06 0.000 000 322 830 6 0.000 009 765 625

0.000 156 25 0.001 562 5

1 0.000 000 000 038 610 22

0.000 000 386 102 2 0.003 861 022

Square centimeters

6.461 6 404.685 642 24 929.030 4

8 361.273 6 252 92S.5264

4 046 856.4224

4 0 4 6 8 5 64 . 224 25 899 881 103.36

10 000

100 000 000

0.000 645 16 0.040468 564 224 0.092 903 04 0.836 127 36

25. 292 862 64 404.685 042 24 4046.856 4224

589 988.110 336 0.000 1

0.000 000 0CJ 516 0.000 004 046 856 422- 0.000 009 290 304 0.000 083 612 736 0.002 529 285 264 0.040 468 564 224 0.404 685 642 24 258.998 811 033 6 0.000 000 01

0.000 1

-I square inch - 1 square link = 1 square foot = 1 square yard TM 1 square rod n 1 equare chain = 1 aero = 1 square milo

= 1 square

contimotor = 1 square meter

= 1 hectare

6.3. UNITS OF VOLUME

Units Cubic inches Cubic feet Cubic yudj Cubic Centimeters Cubic decimeters Cubic meters Units

1 cubic inch =

1 cubic foot =

1 cubic yard =

1 cubic centimeter =

1 cubic decimeter =

1 cubic meter =

1 1728 46 656 0.061 023 74 61.023 74

61 023.74

0.000 578 703 7

1 27 0.000 035 314 67 0.035 314 67 35.314 67

0.000 021 433 4!

0.037 037 04

1

0.000 001 307 W

0.001 307 051

1.307 951

16.387 064

28 316.846 592

554.857 984

1

I 000

1 000 000

0.016 387 064 28.316 846 692 764.554 857 084

0.001

1000

0.000 016 387 004 0.028 316 846 592 0.764 554 857 984 0.000 001 0.001

1

= 1 cubic inch = 1 cubic foot = 1 cubic yard = 1 cubic centimeter = 1 cubic decimeter = 1 cubic meter

6.4. UNITS OF CAPACHI UQWD MEASURE

Units Minims Fluid drams Fluid ounces Gills

TjqjjidpinU^J

liquid quarts Gallons Cubic inches Cubic feet Milliliters Liters Units

1 minim

1 fluid dram =

1 fluid ounce -

1 Bill

1 liquid pint =

1 liquid quart =

1 gallon

1 cubic Inch =

1 cubic foot =

1 milliliter

1 liter

160 480

1920

7680

15 360

61 440

265.974 0

459 603.1 16.231 19

16 231.16

0.016 666 67

1

832 128

256 1024 4.432 900 7660.052 0.270 619 8 270.519 8

0.002 083 333

0.125

14

32 128 0.554 112 6 057.506 5

0.033 814 97 33.814 97

0.000 520 833 3 0.031 25 0.25

14

832 0.138 528 1 239.376 6 0.008 453 742 8.453 742

0.000 130 20S»

| 0.007 11!!

0.062 5

0.21 !

j

1

:

0.034 632 M

| 59.844 10

0.002 !« i"

J 2.113 436 !

"000 065 104 17

''II S06 25

1.111 25

1.1IS

1

316 02

^

».9!2 08 >fl 056 718

1.056 718

0.000 016 276 04

0.000 976 562 5 0.007 812 5 0.031 25

0.125

0.25

0.004 329 004

7.480 519

0.000 264 179 4 0-204 179 4

0.003 759 766 0.225 585 9 1.804 687 5

7.218 75 28.875 57.75

231

1 1728 0.061 025 45

61 .025 45

0.000 002 175 790 0.000 130 547 4 0.001 044 379 0.004 177 517

0.016 710 07 0.033 420 14 0.133 680 6 0.000 578 703 7

1 0.000 035 315 66 0.035 315 66

0.001 609 79 3.096 688

29.572 70

118.290 8

473.163 2 910.326 4

3 785.306

16.386 61 28 310.05

1 1000

0.000 061 009 79 0.003 696 588 0.029 672 70 0.118 290 8 0.473 163 2 0.940 320 4

3,785 300 0.016 380 81 28.316 05

0.001

1

-1 minim = 1 fluid dram = I fluid ounce -loll = 1 liquid pint -1 liquid quart -1 gallon b1 cubic inch

I cubic foot = 1 milliliter -lliter

8

9
6.5. UNITS OF CAPAIiTM

Units Dry pints Dry quarts Pecks Bushels

1 dry pint = 1 0.5 0.062 5 0.015 625

1 dry quart 2 1 0.125 0.031 25

1 peck = 16 8 1 0.25

1 bushel 64 32 4

' cubic inch = 0.029 761 6 0.014 880 8 0.001 860 10 0.000 465 02£

1 cubic foot = 51.428 09 25.714 05 3.214 256 0.803 563 95

1 liter = 1.816 217 0.908 108 4 0.113 513 6 0.028 378 39

1 dekaliter = 18.162 17 9.081 084 1.135 136 0.283 783 9 1

6.6. UNITS OF MASS NOT GREA$

Apothecaries Avoirdupois Apothecaries Avoirdupc I' Units Grains scruples Pennyweights drams drams ounces :

1 grain 1 0.05 0 041 666 67 0 036 571 43 0 016 666 67 0 002 285 7

1 apoth scruple 20 1 0 833 333 3 0 731 428 6 0 333 333 3 0 045 714 2' >

1 pennyweight 24 1.2 1 0 877 714 3 0 4 0 054 857 1<

1 avdp dram 27.343 75 1.367 187 5 1 139 323 1 0 455 729 2 0 062 5

1 apoth dram 60 3 2 5 2 194 286 1 0 137 142 9

1 avdp ounce 437.5 21.875 18 229 17 16 7 291 667

1 apoth or troy ounce 480 24 20 17 554 29 8 1 097 143

1 apoth or troy pound 5. 760 288 240 210 651 4 96 13 165 71

1 avdp pound 7 000 350 291 666 7 256 116 666 7 l|

1 milligram 0.015 435 36 0.000 771 617 9 0 000 643 014 9 0 000 564 383 4 0 000 257 206 0 0 000 035 21 9!

1 gram 15.432 36 0.771 617 9 0 643 014 9 0 564 383 4 0 257 206 0 0 035 273 9(j

1 kilogram 15 432 36 771.617 9 643 014 9 564 .383 4 257 206 0 35 273 96

6.7. UNITS OF MASS NOT L:

Avourdupois Avourdupois Short hundred

Units ounces pounds weights Short tons

1 avourdupois ounce = 1 0.0625 0.000 625 0.000 031 25

1 avoirdupois pound = 16 I 0.01 0.000 5

1 short hundredweight = 1 600 100 1 0.05

1 short ton = 32 000 2 000 20 1

1 long ton = 35 840 2 240 22.4 1.12

1 kilogram = 35.273 96 2.204 623 0.022 046 23 0.001 102 311 H

1 metric ton = 35 273.96 2204 . 623 22.046 23 1.102 311

—

I

10
MEASURE

Cubic inches Cubic feet Liters Dekaliters Units

33.600 312 5

67.200 625

I 537.605

';2150.42

1 1728

39

ft 61.025 45

S

; 610.254 5

0.019 444 63 0.038 889 25 0.311 114 1.244 456 0.000 578 703 7

1 0.035.315 66 0.353 156 6

0.550 595 1 1.101 190 8.809 521 35.238 08 0.016 386 61 28.316 05

1 10

0.055 059 51 0.110 119 0 0.880 952 1 3.523 808

0.001 638 661 2.831 605

0.1

1

=1 dry pint

= 1 dry quart

= 1 peck

= 1 bushel

= 1 cubic inch

= 1 cubic foot

= 1 liter

= 1 dekaliter m POUNDS AND KILOGRAMS

•ithecaries or Apothecaries or Avourdupoi 3 oy ounces troy pounds pounds Milligrams Grams Kilograms Units

'2 083 333 0 000 173 611 1 0 000 142 857 1 64.798 91 0 064 798 91 0 000 064 798 91 = 1 grain

1 666 67 0 003 472 222 0 002 857 143 1295.978 2 1 295 978 2 0 001 295 978 2 = 1 apoth

scruple 0 004 166 667 0 003 428 571 1555.173 84 1 555 173 84 0 001 555 173 84 = 1 pennyweight

6 966 15 0 004 747 179 0 003 906 25 1771.845 195 312 5 1 771 845 195 312 5 0 001 771 845 195 312 5 = 1 avdp dram

15 0 010 416 67 0 008 571 429 3887.934 6 3 887 934 6 0 003 887 934 6 = 1 apoth dram

1 458 3 0 075 954 86 0 062 5 28 349.523 125 28 349 523 125 0. 028 349 523 125 = 1 avdp ounce

1 m

0 083 333 333 0 068 571 43 31 103.476 8 31 103 476 8 0 031 103 476 8 = 1 apoth or troy ounce

12 1 0 822 857 1 373 241.721 6 373 241 721 6 0 373 241 721 6 = 1 apoth or

troy pound

!3 33 1 215 278 1 453 592.37 453 592 37 0 453 592 37 = 1 avdp pound

10 032 150 75 0 000 002 679 229 0 000 002 204 623 1 0 001 0 000 001 = 1 milligram

12 150 75 0 002 679 229 0 002 204 623 1000 1 0 001 = 1 gram

10 75 2 679 229 2 204 623 1 000 000 1 000 1 = 1 kilogram

IrVN AVOIRDUPOIS OUNCES

Long tons Kilograms Metric tons Units

ID. 000 027 901 79

3.000 446 428 6

3.044 642 86

3.892 857 1 1 3.000 984 206 5

0.984 206 5

0.028 349 523 125 0.453 592 37 45.359 237 907.184 74 1016.046 908 8

1

1 000

0.000 028 349 523 125 0.000 453 592 37 0.045 359 237 0.907 184 74 1.016 046 908 8 0.001

1

= 1 avoirdupois ounce

= 1 avoirdupois pound

= 1 short hundredweight

= 1 short ton

= 1 long ton

= 1 kilogram

= 1 metric ton

11

« UNITS OF CAPACm| DRy MEASURE

Units Dry pints Dry quarts Pecks ^Bmbdi Cubic inches Cubic feet Liters Dekaliters Units

1 dry pint =

1 dry quart =

1 peck =

1 bushel -

1 cubic inch =

1 cubic foot =

1 liter

1 dekaliter =

1216

64 0.029 701 0 51.428 09

1.810 217

18.102 17

0.5

832 0.014 880 8 25.714 05 0.908 108 4 9.081 034

0.062 5 0.125

1

0.001 860 10 3.214 250 0.113 513 0 1.135 130

0.015 tls 0.031 IS 0.25

1 0.000 465 Mj

0.803 583 15 0.028 378 39 0-283 783 D

33.600 312 5

67.200 625

537.605

2150.42

1 172S

61.025 45

610.254 5

0.019 444 63 0.038 889 25 0.311 114 1.244 450 0.000 578 703 7

1 0.035.315 66 0.353 156 6

0.650 595 1 1.101 190 8.809 521 35.238 08

0.016 386 61 28.316 05

1 10

0.055 059 51 0.110 110 0

0 . 880 952 1 3.523 808

0.001 638 061 2.831 605

0.1

1

= 1 dry pint = 1 dry quart = 1 peck = 1 bushel = 1 cubic inch = 1 cubic foot -1 liter = 1 dekaliter

6.6. UNITS OF MASS NOT GREATER

1 grain

1 apoth scruple =

1 pennyweight

1 avdp dram =

1 apoth dram

1 avdp ounce

1 apoth or troy ounce =

1 apoth or troy pound =

1 avdp pound =

1 milligram

1 gram =

1 kilogram =

27.343 75

437.5

5.760

7 000 0.015 432 36 15.432 30

15 432 36

Apothecarie

350

1.000 771 617 9

1.771 617 9 .617 9

0.041 0.833

666 67 333 3

291 .660 0.000

0.643

643.014

043 014 9 014 9

Avoirdupois drams

.036 571 43

(.731 428 6

'.877 714 3

.191 286

: .554 29

1.000 504 383 4

1.564 383 4

Apotliecar drams

0.016 066 67 0.333 333 3

0.455 729 2

7.291 607

116.666 7 0.000 257 208 0.257 206 0 257.206 0

THAN POUNDS AND KILOGRAMS

-U'lilij;, I

ounce)

0.002 285 714 0.015 714 39

0.054 857 II

0.0(2 5

0.137 142 1

0.000 015 2711!

0.035 273 S6

35.273 11

6.7. UNITS OF MASS NOT I THAN AVOIRDUPOIS OUNCES

Apothecaries 01

troy ounces

0.056 9 66 15

0,125

0.911 458 3

12

11 583 33

0.000 032 150 75

0.032 150 75

! 3U50 75

Apothecaries oi troy pounds

0.000 173 611 1 0.003 472 222

0.004 166 667

0.004 747 179 0.010 410 67 0.075 954 86 0.083 333 333

1.215 278 0.000 002 679 229 0.002 679 229

2.679 229

Avourdupoi pounds

0.000 142 857 1 0.002 857 143

0.003 428 571 0.003 906 25 0.008 571 42B

0.062 5 0.068 571 43

0.822 857 1

64.798 91 1295.978 2

1555.173 84 1771.845 195 312 5 3S87.934 6 28 349.523 125

31 103.476 8

373 241.721 6

453 592.37 0.000 002 204 ( 0.002 204 623 2.204 623

0.064 798 31 1.295 978 2

1.555 173 84 1.771 845 195 312 5 3.887 934 6 28.349 523 125 31.103 476 8

373.241 721 i

0.000 0.001

0.001

0.001 0.003

0.028

0.031

0G4 798 91 295 978 2

555 173 84

771 845 195 312 5 887 934 6 349 523 125

103 476 8

0.373 211 721 6

0.453 592 37 0.000 001 0.001

= 1 grain = 1 apoth

scruple = 1 pennyweight

" 1 avdp dram

= 1 apoth dram

= 1 avdpounce

= 1 apothortroy

= 1 apoth or troy pound

a I avdp pound

= 1 milligram

; 1 kilogram

Unita

Avourdupois Avourdupois

pounds

Short hundred

weights Long tons Kilograms Metric tons Unita

1 avourdupois ounce =

1 avoirdupois pound ~

1 short hundredweight =

1 short ton =

1 long ton =

1 kilogram =

1 metric ton =

1 16

1 600

32 000

35 840 35.273 96 35 273.96

0.0625

1 100

2 000

2 240 2.204 623 2204.623

0.000 625

0.01

1 20 22.4 0.022 046 23 22.046 23

0.000 Ml 25

0.000 5

0.05

1

1.12

0.001 101 311

1,103 311

0 000 027 901 79

Q.OOO 446 428 6

0.044 642 86

0-892 857 1

O-OOO 984 208 5

l

0.984 206 5

0.028 349 523 125 0.453 592 37 45.359 237 907.184 74 1016.046 908 8

1 1 000

0.000 028 349 523 125 0.000 453 592 37 0.045 359 237 0.907 184 74 1.016 046 908 8 0.001

1

= 1 avoirdupois ounce = 1 avoirdupois pound = 1 short hundredwoight = 1 short too

°1 kilogram » 1 metric ton

10 11
7. COMPARISON OF METRIC AND CUSTOMARY UNITS FROM 1 TO 9

7.1 LENGTH

Mffli- KilomInches meters _

r eet Meters Yards JVleters Rods Meters Miles eters

(in.) (mm) W (,m; (yd) (rd) (m) (mi) (km)

1 = 25 .

4

1 —

0

3048 1 =0 9144 1=5 0292 1= 1 609 344 2= 50.8 2 = 0 6096 2 = 1 2 =10 0584 2= 3 218 688 3= 76.2 3 =0 9144 3=2 7432 3=15 0876 3=4 828 032 4=101.6 4 =1 2192 4=3 6576 4 =20 1168 4= 6 437 376 5=127.0 5 = 1 5240 5=4 Oi £U 5=25 1460 5=8 046 720

6 = 152.4 6 — 1 8288 6=5 4864 6=30 1752 6= 9 656 064 7=177.8 7 =2 1336 7=6 7=35 2044 7 = 11 265 408 8=203.2 8 =2 4384 8=7 3152 8=40 2336 8 = 12 874 752 9=228.6 9 =2 7432 9=8 2296 9=45 2628 9=14 484 096

0 039 3701 =1 3.280 84 = 1 1.093 613=1 0.198 839=1 0 621 371=1

0 078 7402 =2 6.561 68 =2 2.187 227=2 0.397 678=2 1 242 742=2

0 118 1102=3 9.842 52 =3 3.280 840=3 0.596 516=3 1 864 114=3

0 157 4803=4 13.123 36 =4 4.374 453=4 0.795 355=4 2 485 485=4

0 196 8504=5 16.404 20 =5 5.468 066=5 0.994 194=5 3 106 856=5

0 236 2205=6 19.685 04 =6 6.561 680=6 1.193 033=6 3 728 227=6

0 275 5906=7 22.965 88 =7 7.655 293=7 1.391 871 =7 4 349 598=7

0 314 9606=8 26 246 72 = 8 8.748 906=8 1.590 710=8 4 970 970=8

0 354 3307 =9 29.527 56 =9 9.842 520=9 1.789 549=9 5 592 341 =9

7.2. AREA

Square Square Square Square Square Square Square Square

inches centimeters feet meters yards meters Acres Hectares miles kilometers

(in.*) (cm') (ft*) (m*) (yd*) (acre) (ha) (mi*) (km')

1 = 6.4516 1 =0 092 903 1 =0 836 13 1 = 0 404 69 1= 2 5900

2 = 12.9032 2 =0 185 806 2 = 1 672 25 2 = 0 809 37 2= 5 1800

3 = 19.3548 3 =0 278 709 3 =2 508 38 3 = 1 214 06 3= 7 7700 4 =25.8064 4 = 0 371 612 4 =3 344 51 4 = 1 618 74 4 = 10 3600

5 = 32.2580 5 =0 464 515 5 =4 180 64 5 = 2 023 43 5=12 9499

6 =38.7096 6 =0 557 418 6 =5 016 76 6 =2 428 11 6 = 15 5399

7 =45.1612 7 = 0 650 321 7 =5 852 89 7 =2 832 80 7=18 1299 8 = 51.6128 8 =0 743 224 8 =6 689 02 8 =3 237 49 8=20 7199

9 = 58.0644 9 =0 836 127 9 =7 525 15 9 =3 642 17 9=23 3099

0.155 00 = 1 10 7639 =1 1.1960 =1 2.4711 =1 0.386 10 = 1 0.310 00 =2 21 5278 =2 2.3920 = 2 4.9421 =2 0.772 20=2

0.465 00 =3 32 2917 =3 3.5880 =3 7.4132 =3 1.158 31 =3

0.620 00 =4 43 0556 =4 4.7840 =4 9.8842 =4 1.544 41=4

0.775 00 =5 53 8196 =5 5.9800 =5 12.3553 =5 1.930 51=5

0.930 00 =6 64 5835 = 6 7.1759 =6 14.8263 =6 2.316 61=6

1.085 00 =7 75 3474 =7 8.3719 =7 17.2974 = 7 2.702 72=7

1.240 00 = 8 86 1113 =8 9.5679 =8 19.7684 =8 3.088 82=8

1.395 00 =9 96 8752 =9 10.7639 =9 22.2395 =9 3.474 92=9

7.3. VOLUME

Cubic Cubic Cubic Cubic Cubic Cubic Cubic Cubic

yards meters inches Liters inches centimeters feet meters feet Liters

(yfl») (m») (in.>) (liter) (in.1

) (cm3

) (ft») (m') (ft') (liter)

1 =0 764 55 1 =0 016 387 1= 16.387 1 =0 028 317 1 = 28.316

2 = l 529 11 2 =0 032 773 2= 32.774 2 =0 056 634 2 = 56.632

3 =2 293 66 3 =0 049 160 3= 49.161 3 =0 084 951 3 = 84.948

4 =3 058 22 4 =0 065 546 4= 65.548 4 =0 113 267 4 = 113.264

5 =3 822 77 5 =0 081 933 5= 81.935 5 =0 141 584 5 = 141.580

6 =4 587 33 6 =0 098 320 6= 98.322 6 =0 169 901 6 = 169.896

7 =5 351 88 7 =0 114 706 7=114.709 7 =0 198 218 7 = 198.212

8 =6 116 44 8 =0 131 093 8 = 131.097 8 =0 226 535 8 = 226.528

9 =6 880 99 9 =0 147 479 9=147.484 9 =0 254 852 9 = 254.844

1.3080 = 1 61 025 =1 0 061 024=1 35.315 =1 0 035 316 = 1 2.6159 =2 122 051 =2 0 122 047=2 70.629 =2 0 070 631 =2

3.9239 =3 183 076 =3 0 183 071=3 105 . 944 =3 0 105 947 =3

5.2318 =4 244 102 =4 0 244 095=4 141.259 =4 0 141 263 =4

6.5398 =5 305 127 =5 0 305 119=5 176.573 =5 0 176 578 =5

7.8477 =6 366 153 =6 0 366 142=6 211.888 =6 0 211 894 = 6 9.1557 =7 427 178 = 7 0 427 166=7 247.203 =7 0 247 210 =7

10.4636 =8 488 204 =8 0 488 190=8 282.517 =8 0 282 525 =8

11.7716 =9 549 229 =9 0 549 214=9 317.832 =9 0 317 841 =9

12
7.4. CAPACITY—LIQUID MEASURE

U.S. fluid U.S. fluid U.S. liquid U.S. liquid U.S. drams Milliliters ounces Milliliters pints Liters quarts Liters gallons Liters

(fl dr) (ml) (fl oz) (ml) (qt) (liter) (liter)

1= 3.697 1= 29.57 1=0.4732 1 =0 9463 1= 3 785 2= 7.393 2= 59.15 2 =0.9463 2=1 8927 2=7 571

o — 1 1 non O — XL. UifU 3 = 88 72 3=l!4195 3 =2 8390 3=11 356

4 = 14.786 4 = 118 29 4 = 1. 8927 a r> *x —

O

7853 4 = 15 141

O — 1 o . 'too 5 = 147 86 5 =2.3658 C A O —'x 7316 5 =18 927 6=22.180 6 = 177]44 6=2!8390 6=5 6780 6=22 712 7=25.876 7=207.01 7=3.3121 7=6 6243 7=26 497 8=29.573 8=230.58 8=3.7853 8=7 5706 8 =30 282 9=33.269 9=266.15 9 =4.2585 9=8 5169 9 =34 068

0 2705=1 0.033 81 =1 2.113=1 1 0567=1 0.2642=1

0 5410=2 0.067 63=2 4.227=2 2 1134=2 0.5284=2

0 8116=3 0.101 44=3 6.340=3 3 1702=3 0.7925=3

1 0821 =4 0.135 26=4 8.454 =4 4 2269 =4 1.0567=4

1 3526=5 0.169 07=5 10.567=5 5 2836 =5 1.3209=5

1 6231 =6 0.202 89=6 12.681 =6 6 3403=6 1.5851=6

1 8936=7 0.236 70=7 14.794=7 7 3970 =7 1.8493=7

2 1642=8 0.270 52=8 16.907=8 8 4537=8 2.1134=8

2 4347 =9 0.304 33=9 19.021=9 9 5105=9 2.3776=9

7.5. CAPACITY—DRY MEASURE

U.S. dry

quarts

(qt)

Liters

(liter)

U.S. pecks

(pk)

Liters

(liter)

U.S. pecks Dekaliters

(pk) (dkl)

U.S. Hectobushels liters

(bu) (hi)

U.S. Hectcbushels liters

per acre per hectare

1 =1 1012 1= 8.810 1=0.8810 1=0.3524 1=0 8708 2=2 2024 2=17.619 2=1.7619 2=0.7048 2 = 1 7415 3=3 3036 3=26.429 3=2.6429 3=1.0571 3=2 6123 4=4 4048 4=35.238 4=3.5238 4 = 1.4095 4=3 4830 5=5 5060 5=44.048 5=4.4048 5 = 1.7619 5=4 3538 6=6 6071 6=52.857 6=5.2857 6=2.1143 6=5 2245 7=7 7083 7=61.667 7=6.1667 7=2.4667 7=6 0953 8 = 8 8095 8=70.476 8=7.0476 8=2.8190 8 = 6 9660 9=9 9107 9=79.286 9=7.9286 9=3.1714 9=7 8368

0.9081 =1 0.113 51=1 1.1351=1 2.838 = 1 1 . 1484 = 1 1.8162=2 0.227 03=2 2.2703=2 5.676=2 2.2969=2

2.7243 =3 0.340 54=3 3.4054=3 8.514=3 3.4453 =3

3.6324=4 0.454 05=4 4.5405=4 11.351=4 4.5937=4

4.5405=5 0.567 57=5 5.6757=5 14.189=5 5.7422=5

5.4487=6 0.681 08=6 6.8108=6 17.027=6 6.8906=6

6.3568=7 0.794 59=7 7.9460=7 19.865=7 8.0390=7 7.2649=8 0.908 11 =8 9.0811 =8 22.703=8 9.1875=8

8.1730 =9 1.021 62=9 10.2162=9 25.541 =9 10.3359 =9

7.6. MASS

Grains

(grain)

Grams

(g)

Apothecaries drams

(dr ap or 3

)

3rams

(g)

Troy

ounces

(oz t)

Grams

(g)

Avoirdupois ounces

(oz avdp)

Grams

(g)

Avoirdupois pounds

(lb avdp)

Kilo- grams

(kg)

1 = 0 064 7989 1= 3 887 93 1 = 31 1035 1 = 28.3495 1 =0 453 592

2 =0.129 5978 2= 7 775 87 2 = 62 2070 2 = 56.6990 2 =0 907 185 3 = 0 194 3967 3=11 663 80 3 = 93 3104 3 = 85.0486 3 = 1 360 777

4 =0 259 1956 4 = 15 551 74 4 = 124 4139 4 = 113.3981 4 = 1 814 369

5 =0 323 9946 5 = 19 439 67 5 = 155 5174 5 = 141.7476 5 =2 267 962

6 =0 388 7935 6=23 327 61 6 = 186 6209 6 = 170.0971 6 =2 721 554

7 = 0 453 5924 7=27 215 54 7 = 217 7243 7 = 198.4467 7 = o 175 147 8 =0 518 3913 8=31 103 48 8 = 248 8278 8 = 226.7962 8 =3 628 739

9 =0 583 1902 9=34.991 41 9 =279 9313 9 =255.1457 9 =4 082 331

15.4324 =1 0.257 206=1 0 032 1507 = 1 0 035 2740 = 1 2.204 62 = 1 30.8647 =2 0.514 412=2 0 064 3015 = 2 0 070 5479 =2 4.409 25 =2

46.2971 =3 0.771 618=3 0 096 4522 =3 0 105 8219 = 3 6.613 87 =3

61.7294 =4 1.028 824=4 0 128 6030 =4 0 141 0958 = 4 8.818 49 =4

77.1618 =5 1.286 030=5 0 160 7537 =5 0 176 3698 = 5 11.023 11 =5

92.5941 =6 1.543 236=6 0 192 9045 = 6 0 211 6438 = 6 13.227 74 =6

108 0265 =7 1.800 442 =7 0 225 0552 = 7 0 246 9177 =7 15.432 36 =7

123.4589 =8 2.057 648=8 0 257 2060 = 8 0 282 1917 = 8 17.636 98 =8

138.8912 =9 2.314 854=9 0 289 3567 = 9 0 317 4657 = 9 19.841 60 =9

13
7.7. COMPARISON OF THE VARIOUS TONS AND POUNDS IN USE IN THE UNITED

STATES (FROM 1 TO 9 UNITS)

Troy pounds Avoirdupois pounds Kilograms Short tons Long tons Metric tons

1 0 822 86 0.373 24 0.000 411 43 0.000 367 35 0 000 373 24 2 1 645 71 0.746 48 0.000 822 86 0.000 734 69 0 000 746 48

3 2 408 57 1.119 73 0.001 234 29 0.001 102 04 0 001 119*73

4 3 291 43 1.492 97 0.001 645 71 0.001 469 39 0 001 492 .97 5 4 114 29 1.866 21 0.002 057 14 0.001 836 73 0 001'"866 21

6 4 937 14 2.239 45 0.002 468 57 0.002 204 08 0 002f239 45

7 5 760 00 2.612 69 0.002 880 00 0.002 571 43 0 002 612 69 8 6 582 86 2.985 93 0.003 291 43 0.002 938 78 0 002 985 93

9 7 405 71 3.359 18 0.003 702 86 0.003 306 12 0 003 359 18

1 215 28 1 0.453 59 0.0005 0.000 446 43 0 000 453 59

2 430 56 2 0.907 18 0.0010 0.000 892 86 0 000 907 18

3 645 83 3 1.360 78 0.0015 0.001 339 29 0 001 360 78

4 861 11 4 1.814 37 0.0020 0.001 785 71 o 001 814 37

6 076 39 5 2.267 96 0.0025 0.002 232 14 0 002 267 96

7 291 67 6 2.721 55 0.0030 0.002 678 57 0 002 721 55

8 506 94 7 3.175 15 0.0035 0.003 125 00 0 003 175 15

9 722 22 8 3.628 74 0.0040 0.003 571 43 0 003 628 74

10 937 50 9 4.082 33 0.0045 0.004 017 86 0 004 082 33

2 679 23 2 204 62 1 0.001 102 31 0.000 984 21 0 001 5 358 46 4 409 25 2 0.002 204 62 0.001 968 41 0 002

8 037 69 6 613 87 3 0.003 306 93 0.002 952 62 o 003

10 716 92 8 818 49 4 0.004 409 25 0.003 936 83 0 004

13 396 14 11 023 11 5 0.005 511 56 0.004 921 03 0 005

16 075 37 13 227 74 6 0.006 613 87 0.005 905 24 0 006

18 754 60 15 432 36 7 0.007 716 18 0.006 889 45 o 007

21 433 83 17 636 98 8 0.008 818 49 0.007 873 65 0 008

24 113 06 19 841 60 9 0.009 920 80 0.008 857 86 o 009

2 430 56 2 000 907.18 1 0.892 86 0 907 18 4 861 11 4 000 1 814.37 2 1.785 71 1 814 37

7 291 67 6 000 2 721.55 3 2.678 57 2 721 55

9 722 22 8 000 3 628.74 4 3.571 43 3 628 74

12 152 78 10 000 4 535.92 5 4.464 29 4 535 92

14 583 33 12 000 5 443.11 6 5.357 14 5 443 11 17 013 89 14 000 6 350.29 7 6.250 00 6 350 29

19 444 44 16 000 7 257.48 8 7.142 86 7 257 48

21 875 00 18 000 8 164.66 9 8.035 71 8 164 66

2 722 22 2 240 1 016.05 1.12 1 1 016 05 5 444 44 4 480 2 032.09 2.24 2 2 032 09

8 166 67 6 720 3 048.14 3.36 3 3 048 14

10 888 89 8 960 4 064.19 4.48 4 4 064 19

13 611 11 11 200 5 080.23 5.60 5 5 080 23

16 333 33 13 440 6 096.28 6.72 6 6 096 28

19 055 56 15 680 7 112.33 7.84 7 7 112 33

21 777 78 17 920 8 128.38 8.96 8 8 128 38

24 500 00 20 160 9 144.42 10.08 9 9 144 42

2 679 23 2 204 62 1 000 1.102 31 0.984 21 1 5 358 46 4 409 25 2 000 2.204 62 1.968 41 2

8 037 69 6 613 87 3 000 3 306.93 2.952 62 3

10 716 92 8 818 49 4 000 4.409 25 3.936 83 4

13 396 14 11 023 11 5 000 5.511 56 4.921 03 5

16 075 37 13 227 74 6 000 6.613 87 5 905.24 6 18 754 60 15 432 36 7 000 7.716 18 6.889 45 7

21 433 83 17 636 98 8 000 8 818.49 7 873.65 8 24 113 06 19 841 60 9 000 9.920 80 8.857 86 9

14
8. SPECIAL TABLES

8.1. LENGTH—INCHES AND MILLIMETERS—EQUIVALENTS OF DECIMAL AND

BINARY FRACTIONS OF AN INCH IN MILLIMETERS M

From 1/64 to 1 Inch

M's 8ths 16ths 32ds 64ths Milli- meters

Decimals

of an inch Inch 8ths 16ths 32ds 64ths Milli- meters

Decimals

of an inch

1 = 0.397 0.015625 33 = 13.097 0.515625

1 2 = .794 .03125 17 34 = 13.494 .63125

3 = 1.191 .046875 35 = 13.891 .540875

1 2 4 = 1.588 .0625 9 18 36 = 14.288 .5625 5 = 1.984 .078125 37 = 14.684 .578125

3 6 = 2.381 .09375 19 38 = 15.081 .59375

7 = 2.778 . 109375 39 = 15.478 .609375

1 2 4 8 - 3.175 .1250 5 10 20 40 = 15.875 .625

9 = 3.572 . 140625 41 = 16.272 .640625 5 10 = 3.969 . 15625 21 42 = 16.669 .65625

11 = 4.366 .171875 43 = 17.066 .671875

3 6 12 = 4.762 .1875 11 22 44 = 17.462 .6875

13 = 5.159 .203125 45 = 17.859 .703125 7 14 = 5.556 .21875 23 46 = 18.256 .71875

15 = 5.953 .234375 47 = 18.653 .734375

1 2 4 8 16 = 6.350 .2500 3 6 12 24 48 = 19.050 .75

17 = 6.747 .265625 49 = 19.447 .765625 g 18 = 7.144 .28125 25 50 = 19.844 .78125

19 = 7.541 .296875 51 =20.241 .796875 5 10 20 = 7.938 .3125 13 26 52 = 20.638 .8125

21 = 8.334 .328125 53 =21.034 .828125

11 22 = 8.731 .34375 27 54 =21.431 .84375

23 = 9.128 .359375 55 = 21.828 .859375

3 6 12 24 = 9.525 .3750 7 14 28 56 =22.225 .875 25 = 9.922 .390625 57 =22.622 .890625

13 26 = 10.319 .40625 29 58 =23.019 .90625^ 27 = 10.716 .421875 59 =23.416 .921875

7 14 28 = 11.112 .4375 15 30 60 =23.812 .9375 29 = 11.509 .453125 61 =24.209 .953125

15 30 = 11.906 .46875 31 62 =24.606 .96875

31 = 12.303 .484375 63 =25.003 .984375

1 2 4 8 16 32 = 12.700 .5 i 2 4 8 16 32 64 =25.400 1.000

8.2. LENGTH—HUNDREDTHS OF AN INCH TO MILLIMETERS

From 1 to 99 Hundredths

Hundredths

of an

inch 0 1 2 3 4 5 6 7 8 9

0 0 254 0.508 0 762 1.016 1 270 1.524 1 778 2 032 2.286

10 2.540 2 794 3.048 3 302 3.556 3 810 4.064 4 318 4 572 4.826

20 5.080 5 334 5.588 5 842 6.096 6 350 6.604 6 858 7 112 7.306

30 7.620 7 874 8.128 8 382 8.636 8 890 9.144 9 398 9 652 9.906 40 10.160 10 414 10.668 10 922 11.176 11 430 11.684 11 938 12 192 12.446 50 12.700 12 954 13.208 13 462 13.716 13 .970 14.224 14 .478 14 .732 14.986

60 15.240 15 494 15.748 16 002 16.256 16 510 16.764 17 018 17 .272 17.526

70 17.780 18 034 18.288 18 542 18.796 19 050 19.304 19 558 19 .812 20.066

80 20.320 20 574 20.828 21 082 21.336 21 590 21.844 22 .098 22 .352 22.606 90 22.860 23 114 23.368 23 622 23.876 24 .130 24.384 24 .638 24 .892 25.146

8.3. LENGTH—MILLIMETERS TO DECIMALS OF AN INCH

From 1 to 99 Units

Milli- meters 0 1 2 3 4 5 6 7 8 9

0 0 03937 0 07874 0 11811 0.15748 0.19685 0.23622 0 27559 0 31496 0.35433

10 0.39370 0 43307 0 47244 0 51181 0.55118 0.59055 0.62992 0 66929 0 70866 0.74803 ! 20 0.78740 0 82677 0 86614 0 90551 0.94488 0.98425 1.02362 1 06299 1 10236 1.14173 30 1.18110 1 22047 1 25984 1 29921 1.33858 1.37795 1.41732 1 45669 1 49606 1.53543

40 1.57480 1 61417 1 65354 1 69291 1.73228 1.77165 1.81102 1 85039 1 88976 1.92913] 50 1.96850 2 00787 2 04724 2 08661 2.12598 2.16535 2.20472 2 24409 2 28346 2.32283 60 2.36220 2 40157 2 44094 2 48031 2.51968 2.55905 2.59842 2 63779 2 67716 2.71653 70 2.75590 2 79527 2 83464 2 87401 2.91338 2.95275 2.99212 3 03149 3 07086 3.11023

80 3.14960 3 18897 3 22834 3 26771 3.30708 3.34645 3.38582 3 42519 3 46456 3.50393

90 3.54330 3 58267 3 62204 3 66141 3.70078 3.74015 3.77952 3 81889 3 85826 3.89763

15
8.4. LENGTH—INTERNATIONAL NAUTICAL MILES AND KILOMETERS

Basic relation: International nautical mile = 1.852 kilometers.

Int. nautical Int. nautical Int. nautical Int. nautical miles Kilometers miles Kilometers Kilometers miles Kilometers miles

u ou 00 Aon 0 50 9ft QQ7S

i 1.852 1 94.452 1 0.5400 1 27.5378

2 3.704 2 96.304 2 1.0799 2 28.0778

3 5.556 3 98.156 3 1.6199 3 28.6177

4 7.408 4 100.008 4 2.1598 4 29.1577

9 2G0 1U1 1 ni of,n • ouu 5 2.6998 5 9Q 6Q76

6 ll!ll2 6 103.712 6 3! 2397 6 30.2376

7 12.964 7 105.564 7 3.7797 7 30.7775 8 14.816 8 107.416 8 4.3197 8 31.3175

9 16.668 9 109.268 9 4.8596 9 31.8575

10 18.520 60 111 . 120 10 60 Q9' > — . 0074 - J J J 't 1 20.372 1 112 .'972 1 5.9395 1 32.9374

2 22.224 2 114.824 2 6.4795 2 33.4773

3 24.076 3 116.676 3 7.0194 3 34.0173

4 25.928 4 118.528 4 7.5594 4 34.5572

c 27.780 5 5 8.0994 5

5k nQ79

6 29! 632 6 122.232 6 8.' 6393 6 35.6371

7 31.484 7 124.084 il .. rifts'. 9.1793 7 36.1771

8 33.336 8 125.936 8 9.7192 8 36.7171

9 35.188 9 127.788 9 10.2592 9 37.2570

20 37 . 040 70 1 9Q fi40 20 10.7991 70 37.7970

1 38^892 1 131.492 1 ll!3391 1 38! 3369

2 40.744 2 133.344 2 11.8790 2 38.8769

3 42.596 3 135.196 3 12.4190 3 39.4168

4 44.448 4 137.048 4 12.9590 4 39.9568 5 46.300 5 100 • yuu 5

1Q 4QQQ 5 40 4QRR

6 48.152 6 140.752 6 14.0389 6 41.0367

7 50.004 7 142.604 7 14.5788 7 41.5767 8 51.856 8 144.456 8 15.1188 8 42.1166

9 53.708 9 146.308 9 15.6587 9 42.6566

30 80 148. 160 30 16 1987 80 ±*\ iorc; rto . lyoo

1 57.412 1 15o!oi2 1 1617387 1 43.7365

2 59.264 2 151.864 2 17.2786 2 44.2765

3 61.116 3 153.716 3 17.8186 3 44.8164

4 62.968 4 155.568 4 18.3585 4 45.3564

5 64 . 820 5 157.420 K IS10. SJQS^ otf00

6 66 .'672 6 159 .'272 6 19.4384 6 46.4363

7 68.524 7 161.124 7 19.9784 7 46.9762

8 70.376 8 162.976 8 20.5184 8 47.5162

9 72.228 9 164.828 9 21.0583 9 48.0662

40 74.080 90 166.680 40 21.5983 90 48.5961

1 75.932 1 168.532 1 22.1382 1 49.1361

2 77 . 784 2 170.384 2 22.6782 2 49 . 6760

3 79.636 3 172.236 3 23.2181 3 50.2160 4 81.488 4 174.088 4 23.7581 4 50.7559 5 83.340 5 175.940 5 24.2981 5 51.2959

6 85.192 6 177.792 6 24.8380 6 51.8359

87.044 7 179.644 7 25.3780 7 52.3758

8 88.896 8 181.496 8 25.9179 8 52.9158

9 90.748 9 183.348 9 26.4579 9 53.4557

100 185.200 100 53.9957

16
8.5. COMPOUND UNITS

Equivalents for compound units such as velocity, densitj7', and pressure may be found

from the tables of the basic units. In some cases the equivalents will be found directly in the

tables of this publication, but in most cases a calculation will be necessary using two or more

tables sometimes with other physical data such as 60 seconds = 1 minute. A few typical ex- amples are shown below:

Velocity

1 foot per second = 0 . 3048 meter per second

. 0.3048

1 foot per second = meter per minute

60

1 foot per minute = 0 . 304S X 60 meters per second

(see appropriate length conversion tables)

Acceleration

1 foot per second per second = 0 . 3048 meter per second per second

, 0.3048

1 foot Fper second per second =——— meter per minute per minute * 60X60

1 foot per minute per minute = 0 . 3048 X 60 X 60 meters per second per second

(see appropriate length conversion tables)

Density

453 592 37

1 pound per cubic foot== —x — ^TM grams per cubic centimeter

28 316.846 592

(see appropriate mass and volume conversion tables)

Mass (or Weight) per Unit Length

, . 0.453 592 37

1 pound per yard= — $144.— ku°gram per meter

(see appropriate mass and length conversion tables)

Pressure

0 453 592 37

1 pound per square inch=—: — kilograms per square centimeter

6.4516

(see appropriate mass and area conversion tables)

17
MiUiInches

meters iisieiiiii 323S3isssi hbbbb mssmn mnmm mm%m siiiiiai rales iiraraii iiiiiinii

OS OS OS CO OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS OS

Milli- 1

Inches

meters iiii^iii iiiiiisi isiiiiiiei iiiiiiiiii sssagasss

1111IIIIII IIIIIIIIII lllilllili sisllsssss

Milli- I

!

8388812888 Illslilail islll§ilis lliiillsll 8388183833

£g£KK££££g SSSSSoSSScSSS SSSSSSSSSS SSSSSSSSSoSo S5SS§8§8§SSS§

83SSSS§S§S 2222222222 SSSSSSS^SS g38SSS3Sk8g S33SmS!s3S

MilliInches

meters j

SSSSSlSSSi 33383333S8 8383388338 8388383888 SSSSiSSSSS

SSSSSSSSSk kSSSSSSgggg ggggssssss ssssssssss

co CO CO CD CD CD CO CO CO CO to CO CD CO CO CO CD CO CO CO CO CO CO CO CO CO CO CO CO CO CO CO CO CO CO CO CO CO CO CO CO CD CO CO CD CD CO CO CO CO

Milli- !

1

§3Sg§§3£88 8238333318 lliillilSI 8338883388 S3S8S33333

88g88gS£SS SSSSgSSSgg kSSSMSSgg

gSSSSSSSgg 2222222222 SZSSSSS&SS SSSJSmSSSS

MMi- I

1

8SSS§§3BSS illllllsSl 83S383338S §§g§i§31i§ 2383882883

SoSSSSSSSS SSSSSSSggg ggSSSSSSgg gggg222222 =222222223

gS§8SS§S§g 2=22222222 SSSSSSg^SS SSSJSSSSSSSS

MilliInches

meters §3§13§3§33 822S332S88 32853283$ IIIIIIIIII 2389382883

SggSSKfcSSSS fSSSggggggS SSSoSSSSSSSS S3SSS££S£££ §§§E5SSS53gg§8

gSSSSSgSgg 2222222222 gSSSSSSSSSSS g£SS3SS£S?g S39S?S:m$S

Milli- 1

I

8283313388 3339333338 S2S3SS3333 3389383338 833838388

SSSSSSgSSS SSSSSSSSSS SSSSSkkfeSS SSSggggggg gSSSSSSSSS

goSSSggggg 2222222222 S^SSSSSSSS SSSSSSSSSSS

Millitncnes

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59
10. INDEX

Page

Abbreviations, list of accepted 7 Acre:

Definition 4

Equivalents in hectares, 1 to 9 units 12 Equivalents in hectares, 1 to 999 units 40

Equivalents of bushels per acre in hectoliters per

hectare, 1 to 9 units 13 Relation to other area units 8 Angstrom 4

Apothecaries units (see also under the name of each unit) . 6

Are, definition 4

Area:

Definition of units 4 Fundamental units 4

Subsidiary units 4 Avoirdupois units of mass (see also under the name of each unit) 6

Barrel: For cranberries 5 For fruits and vegetables 5 Binary and decimal fractions of an inch and millimeter 15 Board foot 5

Bushel:

British: Relation to United States bushel, approximate 3 United States: Definition 5 Equivalents in hectoliters, 1 to 9 units 13 Equivalents of bushels per acre in hectoliters per

hectare, 1 to 9 units 13 Heaped 5 Relation to other capacity units 10

Stricken or struck 5 Volume in cubic inches 5

Capacity:

Definition of units 5 Fundamental units 5

Subsidiary units 5

Carat:

Metric, definition 6

Old, in use in United States previous to July 1, 1913 6 Centare 4

Centigram 6

Centiliter 5

Centimeter:

Definition 4

Relation to other length units 8

Square:

Definition 4

Equivalents in square inches, 1 to 9 units 12 Relation to other area units 8 Cubic:

Definition 5 Equivalents in cubic inches, 1 to 9 units 12 Relation to other volume units 8 Chain (Gunter's): Definition 4

Relation to other length units 8

Square:

Definition 4

Relation to other area units 8 Common fractions of an inch in decimals of an inch and

millimeters 15 Comparison of pounds and tons used in United States 14 Compound units 17

Contents, table III Cord 5 Cubic measure, units (see also under the name of each

unit) 5 Decigram 6

Deciliter 5 Decimal and binary fractions of an inch and millimeters 15 Decimeter:

Definition 4

Square, definition 4

Cubic:

Definition 5 Relation to liter 5 Relation to other volume units 5 Dekagram 6

Dekaliter:

Definition 5 Equivalents in United States pecks, 1 to 9 units 13 Relation to other capacity units 10 Dekameter:

Definition 4

Square, definition 4 Cubic, definition 5

Page Dram:

Apothecaries:

Definition 6 Equivalents in grams, 1 to 9 units 13

Relation to other units of mass 10

Avoirdupois:

Definition 6

Relation to other units of mass 10

Fluid: Definition 5 Equivalents in milliters, 1 to 9 units 13

Relation to other capacity units 8 Dry units of capacity (see also under the name of each

unit) 5

Equivalents, fundamental 2

Equivalents. (See names of units.) Fathom 4

Feet. (See Foot.) Fluid units (see also under the name of each unit) 5

Foot:

Definition 4

Equivalents in meters, 1 to 9 units 12 Equivalents in meters, 1 to 999 units 28

Relation to other length units 8

Square:

Definition 5

Equivalents in square meters, 1 to 9 units 12 Relation to other area units 8

Cubic:

Definition 5 Equivalents in cubic meters, 1 to 9 units 12 Equivalents in liters, 1 to 9 units 12

Relation to other volume units 8

Fractions of au inch and millimeters 15 Furlong 4

Gallon:

British imperial: Relation to United States gallon, approximate 3 United States: Definition 5 Equivalents in liters, 1 to 9 units 13 Equivalents in liters, 1 to 999 units 52

Relation to other capacity units 8 Volume in cubic inches 5 Geographical mile. (See Mile, nautical.)

Gill:Definition 5

Relation to other capacity units 8 Volume in cubic inches 5 Grain

Definition 6 Equivalents in grams, 1 to 9 units 13 Relation to other units of mass 10 Gram:

Definition 6 Equivalents in apothecaries drams, 1 to 9 units 13 Equivalents in avoirdupois ounce3, 1 to 9 units 13 Equivalents in grains, 1 to 9 units . 13 Equivalents in troy ounces, 1 to 9 units 13 Relation to other units of mass 10 Hand - 4

Hectare:

Definition 4 Equivalents in acres, 1 to 9 units 12 Equivalents in acres, 1 to 999 units 42

Relation to other area units 8 Hectogram 6

Hectoliter: Definition 5

Equivalents in United States bushels, 1 to 9 units 13 Equivalents of hectoliters per hectare in bushels per

acre, 1 to 9 units 13 Hectometer:

Definition 4

Square, definition 4

Cubic, definition 5 Hundredths of an inch, equivalents in millimeters 15 Hundredweight:

Long, definition 6

Short:

Definition Q Relation to other units of mass 10

60
Page

Inch:

Definition 4

Equivalents in millimeters, 1 to 9 units 12 Equivalents in millimeters, 0.01 to 19.99 units 18 Equivalents of binary fractions of, in decimals of an

inch 15 Equivalents of binary fractions of, in millimeters 15 Equivalents of hundredths of an inch, in millimeters. 15

Relation to other length units 8

Square:

Definition 5 Equivalents in square centimeters, 1 to 9 units 12 Relation to other area units 8

Cubic:

Definition . 5 Equivalents in cubic centimeters, 1 to 9 units 12 Equivalents in liters, 1 to 9 units 12 Number in bushel 3 Number in gallon 2 Relation to other dry capacity units 10 Relation to other liquid capacity units 8

Relation to other volume units 8

Interrelation of units 8 Introduction 1

Kilogram:

Definition 6 Equivalents in avoirdupois pounds, 1 to 9 units 13 Equivalents in avoirdupois pounds, 1 to 999 units 58

Equivalents in avoirdupois and troy pounds, short and

long tons and metric tons, 1 to 9 units 14 Relation to other units of mass 10

Kilometer:

Definition . 4

Equivalents in statute mites, 1 to 9 units 12 Equivalents in statute miles, 1 to 999 units 38

Square:

Definition 4

Equivalents in square miles, 1 to 9 units 12 Cubic, definition 5

Length:

Definition of units 3 Fundamental units 3 Subsidiary units 4

Line, button 4

Link:

Definition 4

Relation to other length units 8

Square:

Definition 4

Relation to other area units 8

Liquid units (see also under the name of each unit) 5

Liter: Definition 5

Equivalents in cubic inches, 1 to 9 units 12 In cubic feet, 1 to 9 units 12 In United States dry quarts, 1 to 9 units 13 In United States gallons, 1 to 9 units 13 In United States gallons, 1 to 999 units 54

In United States liquid pints, 1 to 9 units 13

In United States liquid quarts, 1 to 9 units 13 In United States liquid quarts, 1 to 999 units 50

In United States pecks, 1 to 9 units 13 Relation to cubic decimeter 5

to other liquid capacity units 8

to other dry capacity units 10 Long hundredweight. (See Hundredweight, long.) Long ton. (See Ton, long.) Mass:

Definition of units 6 Fundamental units 6

Subsidiary units 6 Mendenhall Order 3 Meter:

Definition 3

Equivalents in feet, 1 to 9 units 12 Equivalents in feet, 1 to 999 units 30

Equivalents in rods, 1 to 9 units 12 Equivalents in yards, 1 to 9 units 12 Equivalents in yards, 1 to 999 units 34

Relation to other length units 8

Square:

Definition 4

Equivalents in square feet, 1 to 9 units 12 Equivalents in square yards, 1 to 9 units 12 Relation to other area units 8

Cubic:

Definition 5 Equivalents in cubic feet, 1 to 9 units 12 Equivalents in cubic yards, 1 to 9 units 12 Equivalents in cubic yards, 1 to 999 units 46

Relation to other volume units 8

Metric system:

Abbreviations 7

Prefixes 2

Units 1 Metric ton. (See Ton, metric.) Micron 4 Mil 4

Page

Mile: Geographical. (See Mile, nautical.) Nautical

Definition 4

Equivalents in kilometers, 1 to 100 units 10

Statue:

Definition 4

Equivalents in kilometers, 1 to 9 units 12 Equivalents in kilometers, 1 to 999 units 36

Relation to other length units 8

Square:

Definition 4

Equivalents in square kilometers, 1 to 9 units 12 Relation to other area units 8

Milligram:

Definition 6 Relation to other units of mass 10

Milliliter: Definition 5 Equivalent in cubic centimeters 5

Equivalents in fluid drams, 1 to 9 units 13 Equivalents in fluid ounces, 1 to 9 units 13

Relation to other capacity units 8

Millimeter:

Definition . 4

Equivalents in inches, 1 to 9 units 12 Equivalent in inches, 1 to 99 units 15

Equivalents in inches, 0.01 to 25.40 units 22 Square 4

Cubic 5

Millimicron 4 Minim:

Definition 5

Relation to other capacity units 8

Nautical mile. (See Mile, nautical.) Ounce:

Apothecaries, definition 6

Avoirdupois:

Definition 6 Equivalents in grams, 1 to 9 units 13

Relation to other units of mass 10

Fluid:

Definition 5

Equivalents in milliliters, 1 to 9 units 13 Relation to other capacity units 8 Troy:

Definition 6 Equivalents in grams, 1 to 9 units 13 Relation to other units of mass 10

Peck:

Definition 5

Equivalents in dekaliters, 1 to 9 units 13 Equivalents in liters, 1 to 9 units 13

Relation to other capacity units 10 Volume in cubic inches 5 Pennyweight:

Definition 6 Rolation to other units of mass 10

Pint: Dry:

Definition 5 Relation to other capacity units 10 Volume in cubic inches 5 Pint (cont'd): Liquid

Definition 5 Equivalents in liters, 1 to 9 units 13 Relation to other capacity units 8 Volume in cubic inches 5

Point, printers 4

Pound:

Apothecaries:

Definition 6 Relation to other units of mass 10

Avoirdupois:

Definition 6 Equivalents in kilograms, 1 to 9 units 13 Equivalents in kilograms, 1 to 999 units 56

Equivalents in troy pounds, kilograms, short and

long tons, and metric tons, 1 to 9 units 14 Fundamental equivalent 6 Relation to other units of mass 10 Troy:

Definition 6

Equivalents in avoirdupois pounds, kilograms, short and long tons, and metric tons, 1 to 9 units 14

Relation to other units of mass 10

Prefixes, metric units 2

Quart: Dry:

Definition 5

Equivalents in liters, 1 to 9 units 13

Relation to other capacity units 10 Volume in cubic inches 5

Liquid:

Definition 5

Equivalents in liters, 1 to 9 units 13

Equivalents in liters, 1 to 999 units 48

Relation to other capacity units 8 Volume in cubic inches 5

61
Page

Reduction factors (see also separate tables) 1 Rod:

Definition 4 Equivalents in meters, 1 to 9 units 12 Relation to other length units 8

Square:

Definition 5 Relation to other area units 8

Scruple, apothecaries:

Definition , 6 Relation to other units of mass 10

Short hundredweight. (See Hundredweight, short.) Short ton. OSee Ton, short.) Span 4

Spelling of units 7 Square measure:

Abbreviations 7

Units 4

See also under the name of each units. Standards of Measurement:

Calibrations of, by National Bureau of Standards 7

Distinction between, and units 6 Statue mile. (See Mile, statute.) Stere 5

Tables of equivalents: Method of construction 1 Method of use 1 Ton:

Long:

Definition 6 Equivalents in troy and avoirdupois pounds, kilo- grams, short tons, and metric tons, 1 to 9 units 14 Relation to other units of mass 10

Ton—Continued Page

Metric: Equivalents in troy and avoirdupois pounds, kilo- grams, short and long tons, 1 to 9 units 14

Relation to other units of mass 10

Short:

Definition 6 Equivalents in troy and avoirdupois pounds, kilo- grams, long tons, and metric tons, 1 to 9 units 14 Relation to other units of mass 10 Troy units of mass (see also under the name of each unit) . 6

Units'. Abbreviations 7

Definitions 3

Spelling 7 Table of metric 2 Volume:

Abbreviation of units 7

Definition of units 5 Fundamental units 5

Subsidiary units 5 Yard:

Definition 3 Equivalents in meters, 1 to 9 units 12 Equivalents in meters, 1 to 999 units 32

Relation to other length units 8

Square:

Definition 4

Equivalents in square meters, 1 to 9 units 12

Relation to other area units 8

Cubic:

Definition 5

Equivalents in cubic meters, 1 to 9 units 12 Equivalents in cubic meters, 1 to 999 units 44

Relation to other volume units 8

frl!. S. GOVERNMENT PRINTING OFFICE: 1961-554066

62
THE NATIONAL BUREAU OF STANDARDS

i scope of activities of the National Bureau of Standards at its major laboratories in Washington,

D.C., and Boulder, Colorado, is suggested in the following listing of the divisions and sections eniged in technical work. In general, each section carries out specialized research, development,

id engineering in the field indicated by its title. A brief description of the activities, and of the

lltant publications, appears on the inside of the front cover.

WASHINGTON, D.C.

Electricity and Electronics. Resistance and Reactance. Electron Devices. Electrical Instruments,

lagnetic Measurements. Dielectrics. Engineering Electronics. Electronic Instmmentation. Elecrochemistry.

)ptics and Metrology. Photometry and Colorimetry. Optical Instruments. Photographic TechnolLength. Engineering Metrology,

leat. Temperature Physics. Heat Measurement. Cryogenic Physics. Rheology. Molecular Kineics. Free Radicals Research. Equation of State. Statistical Physics. Molecular Spectroscopy.

Uomic Physics. Spectroscopy. Radiometry. Mass Spectrometry. Solid State Physics. Electron

Physics. Atomic Physics.

Chemistry. Organic Coatings. Surface Chemistry. Organic Chemistry. Analytical Chemistry. Inorganic Chemistry. Electrodeposition. Molecular Structure and Properties of Gases. Physical

Chemistry. Thermochemistry. Spectrochemistry. Pure Substances.

Mechanics. Sound. Mechanical Instruments. Fluid Mechanics. Engineering Mechanics. Mass and

Scale. Capacity, Density, and Fluid Meters. Combustion Controls.

Organic and Fibrous Materials. Rubber. Textiles. Paper. Leather. Testing and Specifications.

Polymer Structure. Plastics. Dental Research.

Metallurgy. Thermal Metallurgy. Chemical Metallurgy. Mechanical Metallurgy. Corrosion. Metal

Physics.

Mineral Products. Engineering Ceramics. Glass. Refractories. Enameled Metals. Constitution

and Microstructure.

Building Technology. Structural Engineering. Fire Protection. Air Conditioning, Heating, and

Refrigeration. Floor, Roof, and Wall Coverings. Codes and Safety Standards. Heat Transfer.

Concreting Materials.

Applied Mathematics. Numerical Analysis. Computation. Statistical Engineering. Mathematical

Physics.

Data Processing Systems. SEAC Engineering Group. Components and Techniques. Digital Ciritry. Digital Systems. Analog Systems. Applications Engineering.

Office of Basic Instrumentation. # Office of Weights and Measures.

JOULDER, COLORADO

Cryogenic Engineering. Cryogenic Equipment. Cryogenic Processes. Properties of Materials. Gas

Liquefaction.

idio Propagation Physics. Upper Atmosphere Research. Ionosphere Research. Regular Prediction

srvices. Sun-Earth Relationships. VHF Research. Radio Warning Services. Airglow and Aurora,

idio Astronomy and Arctic Propagation.

»dio Propagation Engineering. Data Reduction Instrumentation. Radio Noise. Tropospheric

leasurements. Tropospheric Analysis. Propagation-Terrain Effects. Radio-Meteorology. Lower

Atmosphere Physics.

idio Standards. High-Frequency Electrical Standards. Radio Broadcast Service. Radio and

licrowave Materials. Electronic Calibration Center. Microwave Circuit Standards,

idio Communication and Systems. Low Frequency and Very Low Frequency Research. High

requency and Very High Frequency Research. Modulation Systems. Antenna Research. Navigation Systems. Systems Analysis. Field Operations.
SELECTED WEIGHTS AND MEASURES

PUBLICATIONS OF THE

NATIONAL BUREAU OF STANDARDS

NBS Handbook 44 2d Edition—1955 Specifications, Tolerances, and

Regulations for Commercial Weighing and

Measuring Devices. Loose Leaf (does not

include binder) $1.00

NBS Handbook 67 Checking Prepackaged Commodities .35

NBS Circular 501 Federal and State Weights and Measures Laws 6.50

NBS Circular 540 Weights and Measures Case Reference Book 1 .25 NBS Circular 547 Precision Laboratory Standards of Mass and

Laboratory Weights—Section 1 .35

NBS Circular 593 The Federal Basis for Weights and Measures .30

NBS Monograph 15 Calibration of Line Standards of Length and

Measuring Tapes at the National Bureau of

Standards .15

AVAILABLE REPORTS OF THE

NATIONAL CONFERENCE ON WEIGHTS AND MEASURES

1947 Miscellaneous Publication 189 40$^

1953 Miscellaneous Publication 209 40^

1954 Miscellaneous Publication 212 50^

1955 Miscellaneous Publication 216 70^

1956 Miscellaneous Publication 219 70^

1957 Miscellaneous Publication 222 55/

1958 Miscellaneous Publication 225 65jzf 1959 Miscellaneous Publication 228 65^

Index to the Reports of the National Conference on Weights

and Measures from the First to the Thirty-Sixty, 1905 to

1951, Miscellaneous Publication 203 20^

ORDER ALL PUBLICATIONS, WITH REMITTANCE, FROM

SUPERINTENDENT OF DOCUMENTS, GOVERNMENT PRINTING OFFICE,

WASHINGTON 25, D.C.