Question

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

Answer 1

`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`.