Certified Pool Operator Practice Test

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What is the total number of gallons of water in a rectangular pool with the dimensions 40 feet by 20 feet, and a depth ranging from 3 feet to 8 feet?

25,000 gallons

33,000 gallons

To determine the total number of gallons of water in a rectangular pool with varying depths, the first step is to calculate the volume of the pool in cubic feet. The pool has dimensions of 40 feet in length and 20 feet in width.

Next, since the pool has a varying depth, we calculate the average depth. The depth ranges from 3 feet to 8 feet, so the average depth is computed as follows:

Average depth = (3 feet + 8 feet) / 2 = 5.5 feet.

Now, the volume of the pool in cubic feet can be calculated by multiplying the length, width, and average depth:

Volume = length × width × average depth

Volume = 40 feet × 20 feet × 5.5 feet = 4,400 cubic feet.

To convert cubic feet to gallons, we use the conversion factor that 1 cubic foot is approximately equal to 7.48 gallons:

Total gallons = Volume in cubic feet × 7.48 gallons/cubic foot

Total gallons = 4,400 cubic feet × 7.48 gallons/cubic foot ≈ 32,792 gallons.

Rounding to the nearest thousand, this value corresponds closely to 33,000

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44,000 gallons

52,000 gallons

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