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

512 cube inches

Step-by-step 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 =

volume of the smallest box =

                           = 512 cube inches

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

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step-by-step explanation:

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