TASK DEFINITION: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
PROBLEM: Problem: how many diagonals does a polygon with 19 sides have , if one of its vertices does not connect to any diagonal ?
Options: a ) 135 , b ) 125 , c ) 120 , d ) 110 , e ) 140

SOLUTION: a

PROBLEM: Problem: a lady builds 8 cm length , 15 cm width , and 5 cm height box using 10 cubic cm cubes . what is the minimum number of cubes required to build the box ?
Options: a ) 107 , b ) 60 , c ) 70 , d ) 89 , e ) 78

SOLUTION: b

PROBLEM: Problem: a certain rectangular crate measures 6 feet by 8 feet by 10 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ?
Options: a ) 4 , b ) 4 , c ) 6 , d ) 8 , e ) 10

SOLUTION:
b