Using trapezoidal cross-section method with A1=40 m^2, A2=60 m^2, A3=50 m^2 and spacing 15 m between sections, what is the total earthwork volume?

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Multiple Choice

Using trapezoidal cross-section method with A1=40 m^2, A2=60 m^2, A3=50 m^2 and spacing 15 m between sections, what is the total earthwork volume?

Explanation:
Using the trapezoidal cross-section method, the volume between each pair of consecutive sections is the average of their cross-sectional areas multiplied by the spacing between sections. With A1 = 40 m^2, A2 = 60 m^2, A3 = 50 m^2 and spacing s = 15 m: - Between the first and second sections: ((40 + 60) / 2) × 15 = 50 × 15 = 750 m^3 - Between the second and third sections: ((60 + 50) / 2) × 15 = 55 × 15 = 825 m^3 Total earthwork volume = 750 + 825 = 1575 m^3.

Using the trapezoidal cross-section method, the volume between each pair of consecutive sections is the average of their cross-sectional areas multiplied by the spacing between sections. With A1 = 40 m^2, A2 = 60 m^2, A3 = 50 m^2 and spacing s = 15 m:

  • Between the first and second sections: ((40 + 60) / 2) × 15 = 50 × 15 = 750 m^3

  • Between the second and third sections: ((60 + 50) / 2) × 15 = 55 × 15 = 825 m^3

Total earthwork volume = 750 + 825 = 1575 m^3.

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