How many gallons of water can be held in a tank 30 feet long, 20 feet wide, and 12 feet deep?

To determine the volume of water a tank can hold, you first need to calculate the tank's volume in cubic feet, then convert that volume to gallons. The volume (V) of a rectangular tank is calculated using the formula:

V = length × width × depth.

In this case, the tank's dimensions are 30 feet long, 20 feet wide, and 12 feet deep.

Calculating the volume:

V = 30 ft × 20 ft × 12 ft = 7200 cubic feet.

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

Calculating the gallons:

7200 cubic feet × 7.48 gallons/cubic foot = 53,856 gallons.

Therefore, the volume of water the tank can hold is 53,856 gallons, confirming that the correct answer is indeed the one that states this volume.