# 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.

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.
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Clara Reese
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.