Question

Find the lenght (L) of the pool. The total volume of a backyard pool is 3,600 cubic feet. The height of the pool is 6 ft and a width of the pool is 5 ft. V≈ l×w×h

Answer 1

Assuming that the pool is a perfect rectangular prism, then its volume, V, is given by $V=lwh$, where l is the length, w is the width, and h is the height. Manipulate this formula first to solve for length.

$V=lwh$

Divide both sides of the equation by w*h.

$\dfrac{V}{wh} = l$

Now, plug in your values for volume, width, and height.

$l= \dfrac{3,600}{(5)(6)} = \dfrac{3600}{30} = \dfrac{(120)(30)}{30} = 120 \ ft$

The answer is 120 ft.