Question

A large rectangular swimming pool is 1,000 feet long, 100 feet wide, and 10 feet deep. The pool is filled to the top with water. What is the area of the surface of the water in the pool?

Answer 1

The area of surface of the pool is 222000
`ft^2`

Explanation:

Since the pool is filled to the top with water, the water will have the same area of surface as the pool.

The swimming pool is in the shape of a rectangular prism and it is 1,000 feet long, 100 feet wide, and 10 feet deep.

The area of surface of a rectangular prism is:

A = 2(wl + hl + hw)

where w = width of the pool = 100 ft

l = length of side of the pool = 1000 ft

h = height/depth of the pool = 10 ft

Hence, its area of surface is:

A = 2[(100 * 1000) + (10 * 1000) + (10 * 100)]

A = 2[100000 + 10000 + 1000]

A = 2[111000]

A = 222000
`ft^2`

The area of surface of the pool is 222000
`ft^2`.