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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Answered question

2020-10-21

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.

Answer & Explanation

Clara Reese

Clara Reese

Skilled2020-10-22Added 120 answers

Calculation:
The length is two times width w, so l = 2w.
Write an equation using the formula for the volume of a rectangular prism.
V = lwh
(Write the formula)
72000 = 2w(w)(24)
(Substitute 72000 for V, 2w for 1, and 24 for h)
72000 = 48w2
(Multiply)
1500=w2
(Divide each side by 48)
±1500 = w
(Take the square root of each side)
So, the solution are 1500 and 1500. Use the positive solution.
Therefore the width is 1500  38.73 inches and the length is 21500  77.46 inches.

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