Question

A solid rectangular metal box of length 8 inches, width 2 inches, and depth 4 inches is melted down. All of the liquid metal is used to cast a cube. What is the length of one side of the cube?

Answer 1

4 in.

Explanation:

The volume of the box is (8 in)(2 in)(4 in) = 64 in^3.

The formula for the volume of a cube is V = s^3, where s is the length of one side of the cube.

Setting V = s^3 = 64 in^3, we get s = 4 in.

The length of one side of the cube is 4 in.