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Earthwork Volume

Average end-area and prismoidal volumes from a station table of cut and fill cross-section areas, with cumulative net volume and a mass-haul diagram.

Inputs

Prismoidal needs an even number of intervals (3-station rule).
Station can be plain m (e.g. 100) or sta+offset (e.g. 0+100). Areas in m².
apply to fill (1.10 = compact 10% extra, 0.90 = bulk)
Method
  • Average end-area: Vi = (A1+A2)/2 · L
  • Prismoidal (3-station): V = L/3·(A1 + 4·Am + A2); needs even pairs.
  • Cut and fill computed separately; net = cut − fill·shrink.
  • Cumulative net volume becomes the mass-haul ordinate.

Results

Total Cut
Total Fill (× shrink)
Net (Cut − Fill)
Balance status
From → ToL (m)V cut (m³)V fill (m³)Cumulative