Question

At a certain store volleyballs with a radius of 4 inches are sold in boxes in the shape of a cube. What is the volume of the smallest box that can hold a

Answer 1

512 cube inches

Explanation:

The radius of volleyballs is 4 inches, thus;

diameter of the balls = 2 x radius

= 2 x 4

= 8

The diameter of each ball is 8 inches.

Since the box has the shape of a cube, the smallest box that can hold a volleyball would have its dimensions equal to the diameter of the balls.

So that for the cube,

length = width = height = 8 inches

volume of a cube =
`l^(3)`

volume of the smallest box =
`8^(3)`

= 512 cube inches

The volume of the smallest box that can hold a volleyball is 512 cube inches.