Question

A rectangular swimming pool is 40ft long and 20ft wide. The shallow end is 6ft deep and extends 8ft. Then for 16ft (horizontally) there is a constant slope downwards to the 20ft deep end. How much water is needed to fill the pool to the top? (7.48 gallons in 1 cubic foot)

Answer 1

I would divide that pool into four (4) different sections, 3 rectangular prism sections and one triangular prism section.

Starting from the shallow end, you have a rectangular prism whose dimensions are 6 ft X 8 ft. X 20 ft whose volume is 960 cu. ft. next the mid section which consist of a rectangular prism whose dimensions are 16 ft X 8 ft x 20 ft. or a volume of 2,560 cu ft. with a triangular prism beneath this portion whose base is 16 and height is 12 ft. Calculating this area is 96 sq ft multiplying this by 20 (width) gives a volume of 1,920 cu. ft. and finally the deep end section whose dimensions are: 20 ft X 20 ft X 16 ft or 6,400 cu. ft.

Sum of the 4 volumes and determine how many gallons you need to fill that thing.