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?
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.