Question

Mariana's swimming pool holds 22,000 gallons of water. If there are approximately 7.5 gallons per cubic foot, what size swimming pool, in terms of cubic feet, does Mariana have? Round your answer to the nearest cubic foot.

Answer 1

Size of Mariana's swimming pool would be 2933 cubic feet.

Explanation:

Mariana's swimming pool holds water = 22,000 gallons

there are 7.5 gallons water per cubic foot,

Now we have to calculate the size of the swimming pool by unitary method.

∵ 7.5 gallons of water is contained = 1 cubic foot of pool

∴ 1 gallon of water will be contained in =
`(1)/(7.5)` cubic foot

∴ 22,000 gallons of water will be contained in =
`(22000)/(7.5)`

= 2933 cubic feet

Size of Mariana's swimming pool would be 2933 cubic feet.

Answer 2

The size of swimming pool, in terms of cubic feet, that Mariana has is 2,933 cubic feet. There are approximately 7.5 gallons per cubic foot and there are 22,000 gallons of water. Make a proportion. 7.5 gallons : 1 cubic foot = 22,000 gallons : x. Cross the products and solve for x. x = 1 cubic foot * 22,000 gallons : 7.5 gallons = 2,933 cubic feet.