The 'prismoidal formula' for computing volume of earthwork between two cross-sections is:
Choose the correct answer
V = (A1 + A2)/2 × L (average end area)
V = L/6 × (A1 + 4Am + A2) — prismoidal formula with mid-section area
V = L × Am only
V = L × (A1 × A2)^0.5
Correct Answer
B. V = L/6 × (A1 + 4Am + A2) — prismoidal formula with mid-section area
Why is this the answer?
Prismoidal formula: V = (L/6) × (A1 + 4Am + A2) where L = distance between sections, A1 and A2 = end areas, Am = mid-section area. More accurate than average end area method (which overestimates for tapering sections). Prismoidal correction is always negative (subtract from average end area result). Used in road/dam/canal earthwork estimates.
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