Question

The basketball shown is packaged in a box that is in the shape of a cube. The edge length of the box is equal to the diameter of the basketball. What is the surface area and the volume of the box? The surface area of the box is ? square inches. The volume of the box is ? cubic inches.

Answer 1

See example below.

Explanation:

The volume of a ball is found using the formula V = 4/3πr³. In this example, you know the volume is 4500π. Substitute V = 4500π and solve for r.

4500π = 4/3πr³

4500 = 4/3r³

3375 = r³

15 = r

This means the diameter of the ball is 30.

Since the box had the same side length as the diameter, this means the volume of the box is V = 30*30*30 = 27,000.