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A homeowner has decided to fill in his in-ground pool because it is no longer used. Assume the pool is rectangular and measures 20 feet wide, 40 feet long, and 5.5 feet deep throughout. Each cubic yard of fill dirt costs $12. How much will it cost to fill in the pool? Assume that he must purchase full cubic yards only, even if that means buying more than he needs.

Answer :

Answer:

So for this problem we need to find the volume. The formula for volume is

l * w * h

40 * 20 * 5.5 = 4400

So now you need to put ft into yards

4400ft = 1466.667

Now multiply this by 12

1466.667 * 12 = 17600.004

Because you cant have $00.004 I believe that for this equation you would round to the nearest hundred, so that would be $17600.01.

Your answer is $17600.01

The volume of the pool is 163 cubic units. Then the cost to fill in the pool will be $ 1,956.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A homeowner has decided to fill in his in-ground pool because it is no longer used.

Assume the pool is rectangular and measures 20 feet wide, 40 feet long, and 5.5 feet deep throughout.

Then the volume of the pool will be

V = 20 x 40 x 5.5

V = 4400 cubic feet

V = 162.963 cubic yards

V ≅ 163 cubic yards

Each cubic yard of fill dirt costs $12.

Then the cost to fill in the pool will be

Cost = $ 12 x 163

Cost = $1,956

More about the volume of the prism link is given below.

https://brainly.com/question/16246207

#SPJ2

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