Question

A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 45 ft, width 20 ft, and depth 5 ft. Suppose water ispumped out of the pool at a rate of 250 ftº per hour. If the pool starts completely full, how many hours does it take to empty the pool?

Answer 1

To begin solving this question, I'm going to find the total volume of the pool. Since it is a rectangular prism we get the volume by multiplying the length by the width by the depth.

$V=45\times20\times5=4500$

Now, we know the pool starts with 4500ft³ water. Then it starts to lose 250ft³ each hour. If we divide the total volume by the rate, we're going to find the amount of time needed to empty the pool.

$\frac{4500}{250}=18$

It is going to take 18 hours!