What is the volume of soil to be removed from a trench excavation measuring 2' x 300' x 4' in cubic yards?

To determine the volume of soil to be removed from a trench excavation, you start by calculating the volume in cubic feet and then convert that volume into cubic yards, since one cubic yard equals 27 cubic feet.

The dimensions of the trench are 2 feet wide, 300 feet long, and 4 feet deep. To find the volume in cubic feet, you multiply these dimensions together:

Volume in cubic feet = width × length × depth

= 2' × 300' × 4'

= 2400 cubic feet.

Next, to convert cubic feet to cubic yards, you divide the volume in cubic feet by the conversion factor of 27:

Volume in cubic yards = Volume in cubic feet / 27

= 2400 / 27

≈ 88.89 cubic yards.

Rounding 88.89 to the nearest whole number gives you approximately 89 cubic yards. This leads to the conclusion that the volume of soil to be removed from the excavation is most accurately represented by the choice of 89 cubic yards. This is why that option is correct.