What is the volume of a rectangular pool with a length of 75 feet a width of 50 feet and a depth ranging from 3.5 feet in the shallow end to 12 feet in the deep end?

Answer 1

It is not possible to give a definitive answer because the question does not state how the depth of the pool changes along its length. Many pools remain shallow for a while (to allow non-swimmers to splash about) and then increase in depth.

If you can assume that the depth increases steadily, then the average depth is (3.5+12)/2 = 7.75 feet.

So the volume = L*W*D = 75*50*7.75 cu ft = 29,062.5 cu ft.