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.


`(V)/(wh) = l`

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


`l= (3,600)/((5)(6)) = (3600)/(30) = ((120)(30))/(30) = 120 \ ft`

The answer is 120 ft.