Answer:
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 = [tex]l^{3}[/tex]
volume of the smallest box = [tex]8^{3}[/tex]
= 512 cube inches
The volume of the smallest box that can hold a volleyball is 512 cube inches.
