A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 35ft, width 28ft, and depth 6ft. Suppose water is pumped out of the pool at a rate of 294ft3 per hour. If the pool starts completely full, how many hours does it take to empty the pool?

Answer 1

To find the volume of the pool, we use the formula for the volume of a rectangular prism, which is length x width x height.

Volume of pool = 35ft x 28ft x 6ft = 5880ft^3

Now, we divide the volume of the pool by the rate at which water is pumped out to find how many hours it will take to empty the pool:

Time to empty pool = 5880ft^3 ÷ 294ft^3 per hour = 20 hours

Therefore, it will take 20 hours to empty the pool.