A sedimentation basin is 90 feet long, 30 feet wide, and 12 feet deep. What is the volume of the tank in gallons?

To determine the volume of a sedimentation basin in gallons, you first need to calculate the volume in cubic feet and then convert that measurement to gallons.

The volume of a rectangular tank can be calculated using the formula:

Volume = Length × Width × Depth

In this case, the tank has the following dimensions:

• Length = 90 feet

• Width = 30 feet

• Depth = 12 feet

Calculating the volume in cubic feet:

Volume = 90 × 30 × 12 = 32400 cubic feet

Next, to convert cubic feet to gallons, use the conversion factor that 1 cubic foot equals approximately 7.48 gallons.

Calculating the volume in gallons:

Volume in gallons = 32400 cubic feet × 7.48 gallons/cubic foot ≈ 242352 gallons

Therefore, the correct answer is 242352 gallons. This calculation is essential in water resource management, especially when considering the capacity of sedimentation basins used in various water treatment processes. Understanding how to perform these conversions is critical for environmental studies and civil engineering applications involving water supply and treatment systems.