Earthwork Volume (End-Area)
Average-end-area and prismoidal earthwork volume in cubic feet and yards.
Example
You enter
- End areas (ft², comma-separated) 100, 100
- Station interval (ft) 100
You get
- Total volume 10000
- Total (yd³) 370.37
Checked against published worked examples from: FHWA / state-DOT earthwork references / FM 5-233 (by name).
Details, formula, and sources
Formula or tableAverage end area V = (L/2)*(A1 + A2); prismoidal V = (L/6)*(A1 + 4*Am + A2); yd^3 = ft^3 / 27; adjusted volume = V * swell/shrink factor.
Source and editionThe average-end-area and prismoidal earthwork-volume methods per the FHWA and state-DOT earthwork references and FM 5-233, by name; first-principles.
Free accessFM 5-233 is public-domain US Government work. Compaction swell/shrink factors are material- and spec-specific and user-supplied; the project earthwork report governs the paid quantity.
What governsEstimate. Engineer of record governs the design and acceptance. Verify against the project structural drawings and the manufacturer's published capacity / chart.
API field namesareas, interval_ft, total_ft3, total_yd3
- Swell/shrink factor material- and spec-specific, user-suppliedproject earthwork report