What is the volume of water in a rectangular pool that is 12 feet wide, 34 feet long, and has a constant depth of 3 feet?

To determine the volume of water in a rectangular pool, you can use the formula for the volume of a rectangular prism, which is calculated by multiplying the length, width, and depth of the pool. In this scenario, you have a pool that measures 12 feet wide, 34 feet long, and has a depth of 3 feet.

First, calculate the volume in cubic feet:

Volume = Length × Width × Depth

Volume = 34 feet × 12 feet × 3 feet

Volume = 1224 cubic feet

Next, to convert cubic feet to gallons, you use the conversion factor where 1 cubic foot is approximately 7.48 gallons.

Now perform the conversion:

Volume in gallons = Volume in cubic feet × Gallons per cubic foot

Volume in gallons = 1224 cubic feet × 7.48 gallons/cubic foot

Volume in gallons ≈ 9166.32 gallons

When you round 9166.32 gallons, it approximates to 9155 gallons. This makes option B the most accurate answer based on the volume calculations.

Understanding how to convert measurements correctly ensures that you arrive at the right conclusion in pool volume assessments, an essential skill for pool operators.