If a trench is 112 ft long, 4.5 ft wide, 5.9 ft deep, how many cubic yards of soil were excavated?

• A. 100 yd^3
• B. 110 yd^3
• C. 120 yd^3
• D. 130 yd^3

Answer: (B)

Calculating the excavated volume uses the idea that a trench is a rectangular prism. Multiply length by width by depth to get volume in cubic feet, then convert to cubic yards.

Compute the volume in cubic feet: 112 ft × 4.5 ft × 5.9 ft = (112 × 4.5) × 5.9 = 504 × 5.9 = 2973.6 cubic feet.

Convert to cubic yards using 27 cubic feet per cubic yard: 2973.6 ÷ 27 ≈ 110.13 cubic yards.

So the excavated soil is about 110 cubic yards, matching the closest option.