A commercial swimming pool with dimensions of 150 feet long and 30 feet wide loses 3 inches of water over a 24-hour period. How much water is lost in gallons?

To determine the volume of water lost in gallons from the pool, first, calculate the volume of water that corresponds to the 3 inches of loss over the given dimensions of the pool.

1. Convert inches to feet: Since 1 inch equals 1/12 of a foot, 3 inches is equivalent to 3/12 feet or 0.25 feet.

2. Calculate the volume in cubic feet: The formula for the volume of a rectangular prism (which a pool essentially is) is length × width × height. Here:

• Length = 150 feet

• Width = 30 feet

• Height (loss in water) = 0.25 feet

Volume of water lost = 150 feet × 30 feet × 0.25 feet = 1,125 cubic feet.

3. Convert cubic feet to gallons: There are approximately 7.48 gallons in one cubic foot. So, to find the total volume in gallons, multiply the cubic feet by the conversion factor:

• 1,125 cubic feet × 7.48 gallons/cubic foot = 8,415 gallons.

This calculation shows that the answer is indeed 8,415 gallons