Using the end-area method, calculate the earthwork volume for cross-section areas A1 = 120 m^2 and A2 = 180 m^2 with a spacing of 40 m.

Using the end-area method, calculate the earthwork volume for cross-section areas A1 = 120 m^2 and A2 = 180 m^2 with a spacing of 40 m.

• A. 5200
• B. 6000
• C. 5400
• D. 7000

Answer: (B)

The end-area method estimates the volume between two cross-sections by multiplying the spacing by the average of the end cross-sectional areas. Here, the spacing between sections is 40 m, and the cross-sectional areas are 120 m^2 and 180 m^2. The average area is (120 + 180) / 2 = 150 m^2. Multiply by the spacing: 150 m^2 × 40 m = 6000 m^3. So the earthwork volume is 6000 cubic meters.

The end-area method estimates the volume between two cross-sections by multiplying the spacing by the average of the end cross-sectional areas. Here, the spacing between sections is 40 m, and the cross-sectional areas are 120 m^2 and 180 m^2. The average area is (120 + 180) / 2 = 150 m^2. Multiply by the spacing: 150 m^2 × 40 m = 6000 m^3. So the earthwork volume is 6000 cubic meters.