# An in-ground pond has the shape of a rectangular prism. The pond has a depth of 24 inches and a volume of 72,000 cubic inches. The length of the pond is two times its width. Find the length and width of the pond.

boitshupoO 2020-10-21 Answered
An in-ground pond has the shape of a rectangular prism. The pond has a depth of 24 inches and a volume of 72,000 cubic inches. The length of the pond is two times its width.
Find the length and width of the pond.
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## Expert Answer

Clara Reese
Answered 2020-10-22 Author has 120 answers
Calculation:
The length is two times width w, so
Write an equation using the formula for the volume of a rectangular prism.

(Write the formula)

(Substitute 72000 for V, 2w for 1, and 24 for h)

(Multiply)
$1500={w}^{2}$
(Divide each side by 48)

(Take the square root of each side)
So, the solution are $\sqrt{1500}$ and $-\sqrt{1500}$. Use the positive solution.
Therefore the width is inches and the length is inches.
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