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

Answer 1

Divide the pool into 2 parts as a cuboid and a triangular prism:-

Volume of the cuboid: 75*3.5*50 = 13125 cubic feet

Volume of the triangular prism: 0.5*8.5*75*50 = 15937.5 cubic feet

Total volume: 13125+15937.5 = 29062.5 cubic feet

Answer 2

Cross-section area: (75*3.5)+(0.5*75*8.5) = 581.25 square feet

Volume: 581.25*50 = 29062.5 cubic feet

Answer 3

210937.50