To repair a masonry foundation wall, a 5 feet wide, 60 feet long trench must be excavated, the slope of the ground is 0 feet to 8 feet. How many cubic yards will be excavated?

To repair a masonry foundation wall, a 5 feet wide, 60 feet long trench must be excavated, the slope of the ground is 0 feet to 8 feet. How many cubic yards will be excavated?

• A. 43.1 to 46 cubic yards
• B. 20 to 25 cubic yards
• C. 60 to 70 cubic yards
• D. 10 to 15 cubic yards

Answer: (A)

To determine how many cubic yards will be excavated for the trench repair, we need to calculate the volume of the trench based on its dimensions and the slope of the ground. The trench is 5 feet wide and 60 feet long. The depth of the trench varies along its length due to the slope of the ground. Specifically, the depth ranges from 0 feet to 8 feet, which means the average depth can be calculated as half of the maximum depth, resulting in an average depth of 4 feet. To find the volume in cubic feet, we can use the formula for the volume of a rectangular prism: Volume = Width × Length × Average Depth. Substituting the values, we have: Volume = 5 feet × 60 feet × 4 feet = 1200 cubic feet. To convert cubic feet to cubic yards, we divide by 27 (since 1 cubic yard = 27 cubic feet): 1200 cubic feet ÷ 27 = approximately 44.44 cubic yards. This value falls within the range of 43.1 to 46 cubic yards. Therefore, the correct answer aligns with this calculation, confirming that the right choice is indeed the range indicating about 43.1 to

To determine how many cubic yards will be excavated for the trench repair, we need to calculate the volume of the trench based on its dimensions and the slope of the ground.

The trench is 5 feet wide and 60 feet long. The depth of the trench varies along its length due to the slope of the ground. Specifically, the depth ranges from 0 feet to 8 feet, which means the average depth can be calculated as half of the maximum depth, resulting in an average depth of 4 feet.

To find the volume in cubic feet, we can use the formula for the volume of a rectangular prism:

Volume = Width × Length × Average Depth.

Substituting the values, we have:

Volume = 5 feet × 60 feet × 4 feet = 1200 cubic feet.

To convert cubic feet to cubic yards, we divide by 27 (since 1 cubic yard = 27 cubic feet):

1200 cubic feet ÷ 27 = approximately 44.44 cubic yards.

This value falls within the range of 43.1 to 46 cubic yards. Therefore, the correct answer aligns with this calculation, confirming that the right choice is indeed the range indicating about 43.1 to