The 'prismoidal correction' in earthwork volume calculation corrects for:
Choose the correct answer
Measurement of vertical angles
Error in end-area formula for curved cross-sections — prismoidal correction = L/12(W1-W2)(d1-d2) for accuracy
Correction for curvature and refraction in levelling
Correction for magnetic declination
Correct Answer
B. Error in end-area formula for curved cross-sections — prismoidal correction = L/12(W1-W2)(d1-d2) for accuracy
Why is this the answer?
Prismoidal correction: accounts for the fact that the end-area formula V = L/2(A1+A2) overestimates volume for prismoids (because middle area Am < arithmetic mean of A1 and A2 for concave faces). Prismoidal formula: V = L/6(A1+4Am+A2). Correction Cp = L/12(W1-W2)(d1-d2) where W = top width, d = centre depth. Applied when accuracy needed (large earthworks).
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