Question

If the surface of the earth is rough, then the exact amount of earthwork can be found:

1. By the trapezoidal rule
2. By simpson's rule
3. By the average ordinate rule
4. By mid ordinate rule

Answer 1

Correct Answer - Option 2 : By simpson's rule

Explanation

Mid ordinate and Average ordinate methods are used with the assumption that the boundaries between the extremities of the ordinates are straight lines.

Trapezoidal method is based on the assumption that the figures are trapezoids. The method is more accurate than the above two methods.

Simpson's method assumes that the short lengths of the boundaries between the ordinates are parabolic arcs. This method is more useful when the boundary line departs considerably from the straight line. The result obtained by use of Simpson's method in all cases are more accurate.