Answered

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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

Sagot :

Answer:

[tex]V=5\dfrac{5}{32}\ feet^3[/tex]

Step-by-step 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 :

[tex]V=lbh\\\\V=\dfrac{5}{2}\times \dfrac{33}{8}\times \dfrac{1}{2}\\\\=\dfrac{165}{32}\ feet^3\\\\=5\dfrac{5}{32}\ feet^3[/tex]

So, the volume of the flotation device is equal to [tex]5\dfrac{5}{32}\ feet^3[/tex].

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