How many gallons of water are present in a basement that measures 30' x 25' with standing water at a depth of 6'9"?

To determine the volume of standing water in the basement, you can use the formula for the volume of a rectangular prism, which is length × width × height. In this case, the basement dimensions are 30 feet in length and 25 feet in width, with a water depth of 6 feet 9 inches.

First, convert the depth from feet and inches to just feet. Since there are 12 inches in a foot, 6 feet 9 inches is calculated as follows:

6 feet + (9 inches ÷ 12 inches/foot) = 6 + 0.75 = 6.75 feet.

Now, apply the volume formula:

Volume = Length × Width × Height

Volume = 30 feet × 25 feet × 6.75 feet.

Calculating that gives:

Volume = 30 × 25 × 6.75

Volume = 30 × 168.75

Volume = 5062.5 cubic feet.

Next, to convert cubic feet to gallons, we use the conversion factor of 1 cubic foot equals approximately 7.48 gallons. Therefore:

5062.5 cubic feet × 7.48 gallons/cubic foot = 37,867.50 gallons.

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