Mariana's swimming pool holds 22,000 gallons of water. if there are approximately 7.5 gallons per cubic foot, determine the size of the swimming pool, in terms of cubic feet, mariana have. round your answer to the nearest cubic foot.

a) 3 ft^3
b) 2,933 ft^3
c) 34,091 ft^3
d) 165,000 ft^3

There are several information's that are given in the question. Based on these information's the answer can be easily deduced.

Amount of water that Mariana's swimming pool holds = 22000 gallons
7.5 gallons = 1 cubic feet
Then
22000 gallons = 22000/7.5 cubic feet
                        = 2933 cubic feet
From the above deduction, we can conclude that the correct option among all the options that are given in the question is the second option or option "B".

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.