Unit cube - wikipedia Unit cube Unit cube A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long. The volume of a 3 - dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units. Contents 1 Unit hypercube 2 See also 3 References 4 External links Unit hypercube The term unit cube or unit hypercube is also used for hypercubes, or `` cubes '' in n - dimensional spaces, for values of n other than 3 and edge length 1. Sometimes the term `` unit cube '' refers in specific to the set ( 0, 1 ) of all n - tuples of numbers in the interval ( 0, 1 ). The length of the longest diagonal of a unit hypercube of n dimensions is n ( displaystyle ( sqrt ( n ) ) ), the square root of n and the ( Euclidean ) length of the vector ( 1, 1, 1,... 1, 1 ) in n - dimensional space. See also Doubling the cube K - cell Robbins constant, the average distance between two random points in a unit cube Tychonoff cube, an infinite - dimensional analogue of the unit cube Unit square Unit sphere References ^ Jump up to : Ball, Keith ( 2010 ), `` High - dimensional geometry and its probabilistic analogues '', in Gowers, Timothy, The Princeton Companion to Mathematics, Princeton University Press, pp. 670 -- 680, ISBN 9781400830398. See in particular p. 671. ^ Jump up to : Gardner, Martin ( 2001 ), `` Chapter 13 : Hypercubes '', The Colossal Book of Mathematics : Classic Puzzles, Paradoxes, and Problems : Number Theory, Algebra, Geometry, Probability, Topology, Game Theory, Infinity, and Other Topics of Recreational Mathematics, W.W. Norton & Company, pp. 162 -- 174, ISBN 9780393020236. Jump up ^ Geometry : Reteaching Masters, Holt Rinehart & Winston, 2001, p. 74, ISBN 9780030543289. External links Weisstein, Eric W. `` Unit cube ''. MathWorld. Retrieved from `` https://en.wikipedia.org/w/index.php?title=Unit_cube&oldid=762831531 '' Categories : Euclidean solid geometry 1 ( number ) Cubes Talk Contents About Wikipedia Беларуская Eesti Español 한국어 Italiano עברית Nederlands Português Русский Slovenščina Svenska Tiếng Việt 中文 Edit links This page was last edited on 31 January 2017, at 00 : 03. About Wikipedia

Question: a cube with a side length of blank unit is called a unit cube
Answer: 1