Question

a carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1 inch. Describe the dimensions of the carton using unit cubes.

Answer 1

The volume of a cube is $V=s^{3}$, such that s is the length of any side. You are given that the volume of the carton is 1000 cubic inches, because each 1 by 1 by 1 cube has a volume of one cubic inch. If you put your given v into the equation, you get $1000=s^{3}$. If you take the cube root of both sides, you get that s=10 because 10^3=1000