Question

The top of a swimming pool is in the shape of a rectangle measuring 44 feet by 24 feet. Two of the sides of the pool are trapezoids. The water is 9 feet deep in the deep end and 3 feet deep in the shallow end. 1. Find the volume of the water in the pool.

Answer 1

To find the volume of water in the pool, you can find the volume of the entire pool at 9 feet deep.

V = lwh
44 x 24 x 9
V = 9504 ft.³.

Half of the pool has a depth of 9ft, so divide 9504 ft.³ by two.

4752 cubic feet is the volume of half the pool that is deep.

Because the shallow end is only 3 feet deep, that is 1/3 of the volume of the half that is 9 feet deep.

4752 cubic feet/3 = 1584 cubic feet for the volume of the shallow end.

1584 ft.³ +4752 ft.³ = 6336 ft.³