Civil Engineering MCQAE Level Civil Engineering
In highway earthwork computation using cross-sections, the trapezoidal rule gives the volume between two cross-sections of areas A1 and A2 spaced L apart as:
Estimation and CostingEarthwork Trapezoidal RuleMEDIUM
Choose the correct answer
A
V = L(A1 + A2 + 4Am)/6 (prismoidal formula)
B
V = L(A1 + A2)/2
C
V = L x sqrt(A1 x A2)
D
V = L x A1
Correct Answer
B. V = L(A1 + A2)/2
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Trapezoidal rule: V = L(A1 + A2)/2. For multiple cross-sections at regular intervals: V = d/2 x (A1 + 2A2 + 2A3 + ... + An). Prismoidal formula (more accurate): V = L(A1 + 4Am + A2)/6, where Am = area of middle cross-section. Prismoidal correction Cp = L(W1-W2)(D1-D2)/12.
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