If a trench is 250 feet long, 42 inches wide, and 5 feet deep, how many cubic yards of dirt will be removed after installation of a 24-inch pipe?

To determine the volume of dirt that will be removed, it's important to calculate the volume of the trench created for the installation of the pipe. The first step is to convert all dimensions to the same unit for accurate calculations. The trench's dimensions are given in feet, and the result should be presented in cubic yards.

The trench is 250 feet long, 42 inches wide (which converts to 3.5 feet when divided by 12), and 5 feet deep.

To calculate the volume in cubic feet, use the formula for volume:

Volume = Length × Width × Depth.

Substituting the known values:

Volume = 250 feet × 3.5 feet × 5 feet = 4375 cubic feet.

Next, since there are 27 cubic feet in a cubic yard, convert the volume from cubic feet to cubic yards:

Volume in cubic yards = Volume in cubic feet ÷ 27.

Calculating the conversion:

4375 cubic feet ÷ 27 = approximately 162.96 cubic yards.

This calculation gives the volume of the trench and does not consider the volume around the 24-inch pipe. However, considering standard practices for excavation and the specific dimensions of the trench and pipe, the adjusted effective volume