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31 March, 05:44

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

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Answers (1)
  1. 31 March, 09:40
    0
    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
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