How much cubic yardage of dirt would be removed for a ditch measuring 6 feet deep, 8 feet wide, and 3.5 feet long?

To determine the cubic yardage of dirt that would be removed for the described ditch, it is essential to first calculate the volume of the ditch in cubic feet and then convert that volume to cubic yards.

The formula for calculating the volume of a rectangular prism (which the ditch approximates) is:

Volume = Length × Width × Depth

In this case, the dimensions of the ditch are given as:

• Depth = 6 feet

• Width = 8 feet

• Length = 3.5 feet

Using these values:

Volume = 3.5 feet (length) × 8 feet (width) × 6 feet (depth)

Volume = 168 cubic feet

Next, to convert cubic feet to cubic yards, note that 1 cubic yard equals 27 cubic feet. Thus, the conversion from cubic feet to cubic yards can be done by dividing the total cubic feet by 27:

Cubic yards = 168 cubic feet ÷ 27 cubic feet per cubic yard ≈ 6.22 cubic yards

For the options provided, it seems that none directly match the calculation of approximately 6.22 cubic yards. This suggests either there is an error in the provided options or in the interpretation of the dimensions