What is the amount of soil that should be removed from a 2' x 300' x 4' building trench excavation?

To determine the volume of soil that should be excavated, you need to calculate the volume of the trench by multiplying its dimensions. The trench is given as 2 feet wide, 300 feet long, and 4 feet deep.

The formula for the volume of a rectangular prism (in this case, the trench) is:

Volume = Length × Width × Height

Substituting the given dimensions into the formula:

Volume = 300 feet (length) × 2 feet (width) × 4 feet (depth)

Now, calculate the volume step-by-step:

1. First, multiply the width by the depth:

2 feet × 4 feet = 8 square feet

2. Then multiply the result by the length:

300 feet × 8 square feet = 2400 cubic feet

Next, to convert cubic feet to cubic yards, you divide by 27 (since there are 27 cubic feet in a cubic yard):

2400 cubic feet ÷ 27 = approximately 88.89 cubic yards

Rounding this to the nearest whole number gives 89 cubic yards, which matches the correct answer option.

By understanding this method of calculating volume and converting it to cubic yards, it becomes