Question 107944
How many gallons of water are needed to fill a swimming pool that approximates the shape in the figure? Round to the nearest gallon.
:
Shape given: width: 28ft length 75ft. shallow end 3ft -- deep end 9ft.
:
Find the volume of two separate shapes
Rectangular portion
75 * 28 * 3 = 6300 cu/ft
:
Slanted portion:
.5 * 75 * 28 * 6 = 6300 cu/ft
:
At total of 12,600 cu/ft:

There are 7.481 gal per cu/ft
:
12600 * 7.481 = 94,261 gallons