Answer:
The area of surface of the pool is 222000 [tex]ft^2[/tex]
Step-by-step 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 [tex]ft^2[/tex]
The area of surface of the pool is 222000 [tex]ft^2[/tex].
