A basin measuring 175 feet long, 40 feet wide, and 20 feet deep holds how many gallons of water?

To determine how many gallons of water the basin holds, you first need to calculate its volume in cubic feet. The volume can be found by multiplying its length, width, and depth.

So, the calculation goes as follows:

Volume = Length × Width × Depth

Volume = 175 feet × 40 feet × 20 feet

Volume = 140,000 cubic feet.

Next, to convert cubic feet to gallons, it’s important to know the conversion factor: 1 cubic foot is approximately equal to 7.48 gallons.

Therefore, to find the total volume in gallons, you would multiply the volume in cubic feet by the conversion factor:

Total gallons = 140,000 cubic feet × 7.48 gallons/cubic foot

Total gallons = 1,047,200 gallons.

Thus, the basin can hold 1,047,200 gallons of water, making that the correct answer. This calculation is essential when assessing the capacity of a water storage system, as it provides critical information for planning and resource management.