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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

User Erop
by
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1 Answer

9 votes

Answer:

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.

User Namgyal Brisson
by
7.2k points
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