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.

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(1) Answers

carsondowell123

The volume of a cube is [latex]V=s^{3}[/latex], 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 [latex]1000=s^{3} [/latex]. If you take the cube root of both sides, you get that s=10 because 10^3=1000