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A rectangular pool is 6 feet long and 5 feet wide. It is filled to a depth of 2 Teet. A cubic footof water is about 7.5 gallons. If the pool can be filled at a rate of about 10 gallons per minute,now long will it take to fill the pool to a depth of 2 feet? Explain your reasoning.

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1 Answer

4 votes

Answer:

450 minutes

Explanation:

First, let's calculate the volume of the pool when filled. Volume will be: (length x width x height).

Volume = 6' x 5' x 2 ' = 60 ft^3

1 ft^3 of water occupies 7.5 gallons. That's a conversion factor for water: (7.5 gal)/(1 ft^3).

The total gallons of water in a filled pool would be:\

(60 ft^3)*((7.5 gal)/(1 ft^3)) = 4500 gallons

At a rate of 10 gallons/min, it would take:

(4500 gallons)/(10 gallons/min) = 450 minutes, or 450/60 = 7.5 hours

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