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

The volume of a rectangular prism, such as a sedimentation basin, can be calculated using the formula:

[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} ]

In this case, the sedimentation basin has dimensions of 90 feet long, 30 feet wide, and 12 feet deep. Plugging in these values into the formula gives:

[ \text{Volume} = 90 , \text{ft} \times 30 , \text{ft} \times 12 , \text{ft} ]

Calculating step-by-step:

1. First, multiply the length by the width:

[ 90 , \text{ft} \times 30 , \text{ft} = 2700 , \text{sq ft} ]

2. Then, multiply the result by the depth:

[ 2700 , \text{sq ft} \times 12 , \text{ft} = 32400 , \text{cubic ft} ]

Thus, the volume of the tank is 32,400 cubic feet, which corresponds to the