Question

A gift box is a cube with a volume of 512 cubic inches. What is the length of each edge of the box?

Answer 1

Answer:

8

Step-by-step explanation:

The volume of a cube is length x width x height. Since it's a cube, though, the length, width, and height are all equal, and equivalent to the length of one edge of the cube. Therefore, to find the lenght of an edge of the cube, just find the cube root of the volume. In this case, the cube root of 512 is equal to 8.

Answer 2

Answer:

Each side is 8 inches long

Step-by-step explanation:

The volume of a cube is given by

V =s^3 where s is the side length

512 in^3 = s^3

Take the cube root of each side

512 ^ (1/3) = s^3 ^ (1/3)

8 = s

Each side is 8 inches long