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A flotation device used for swimming lessons is the shape of a rectangular prism. It is 2 1/2 feet wide, 4 1/8 feet long, and 1/2 foot tall. What is the volume of the flotation device? 1. 5 5/32 cubic feet 2. 7 1/8 cubic feet 3. 8 1/32 cubic feet 4. 10 5/16 cubic feet

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User Fraxool
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1 Answer

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Answer:


V=5(5)/(32)\ feet^3

Explanation:

Given that,

The width of prism, b = 2 1/2 feet

Length, l = 4 1/8 feet

Height, h = 1/2 foot

We need to find the volume of the flotation device. The formula for the volume of a rectangular prism is given by :


V=lbh\\\\V=(5)/(2)* (33)/(8)* (1)/(2)\\\\=(165)/(32)\ feet^3\\\\=5(5)/(32)\ feet^3

So, the volume of the flotation device is equal to
5(5)/(32)\ feet^3.

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