Answer:
The rectangular prism has dimensions of 5 inches by 7 inches by 8 inches. The volume can be calculated as follows:
Length of base multiplied by width of base multiplied by height.
Volume = 5 × 7 × 8 = 280 cubic inches
A golf ball is spherical. The volume formula for a sphere is:
Volume of a sphere = 4/3πr^3
Given a golf ball's diameter of 1.7 inches, the radius is 1.7/2 = 0.85 inches.
Thus, the volume for each golf ball is calculated as follows:
Volume of each golf ball = 4/3 × 3.14 × 0.85^3
= 2.57 cubic inches
The number of golf balls fitting into the compartment calculates to:
Volume of compartment divided by volume of each golf ball, resulting in
280/2.57 equals 109 golf balls.
Step-by-step explanation: