A new golf bag has a compartment that is roughly a rectangular prism that has dimensions of 5 inches by 7 inches by 8 inches. How many golf balls will fit in the compartment if a golf ball has a diameter of 1.7 inches?

A. 44

b. 57

c. 63

d. 82

Step-by-step explanation:

The dimensions of the rectangular prism is 5 inches by 7 inches by 8 inches. Volume of the rectangular prism is expressed as

Length of the base * width of the base * height of the prism.

Volume = 5*7*8 = 280 inches ^2

Each golf ball has the shape of a sphere. The volume of a sphere is expressed as

Volume of sphere = 4/3πr^3

The golf ball has a diameter of 1.7 inches. It means that the radius of the golf ball is 1.7/2 = 0.85

Volume of each golf ball = 4/3 * 3.14*0.85^3

= 2.57 inches^3

The number of golf balls that will fit into the compartment would be

Volume if compartment / volume of each golf ball. It becomes

280/2.57 = 109 golf balls