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17. How many gallons of water would it take to fill a swimming pool that was 10 feetwide, 30 feet long, and 5 feet deep?Answer18. Refer to problem 17. If water costs $0.07 per gallon, how much would it cost to fill thepool?Answer

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17. To solve this problem, we need to get first the volume of the swimming pool. We assume that the swimming pool takes a rectangular prism shape. The volume of the pool can be calculated using the equation


V=l* w* h

The pool has dimensions 10 feet wide, 30 feet long, and 5 feet deep. Substitute this on the equation above and solve, we get


V=10*30*5=1500ft^3

Now, we are asked how many gallons of water would it take to fill the swimming pool. Assuming that the water completely fills up the pool, we have a number of gallons equal to the volume of the pool. Since the volume of the pool is in cubic feet, we need to convert this into gallons. The conversion factor for cubic feet to the gallon is 1 cubic foot = 7.48 gallons. We have


1500ft^3*\frac{7.48\text{gallon}}{1ft^3}=11220\text{gallons}

Answer: We require 11220 gallons of water to fill up the pool.

18. If the cost of the water per gallon is $0.07, we just multiply this by the total volume of gallons of water that filled up the pool. We have


11220*\$0.07=\$785.4

Answer: The total cost to fill the pool is about $785.4.

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