Average end area volume
Earthwork volume between two cross-sections by the average end area method, in cubic yards and cubic feet.
Experimental: not yet fully verified. How results are checked
The volume is 555.56 yd³ (15,000 ft³).
- Volume (ft³)
Provenance
- Computed by
- survey.earthwork.average-end-area 1.0.0, core 0.1.0
- Model
- V = L·(A1 + A2)/2
- Accuracy
- Exact for the method; overestimates for pyramidal sections compared with the prismoidal formula
- Notes
- 1 shown with the answer
- Cites
- Ghilani, C. D., and Wolf, P. R., Pearson, Elementary Surveying: An Introduction to Geomatics
Something look off?
How we got thisFormula, worked example, sources, and proof
Model: V = L·(A1 + A2)/2
Accuracy: Exact for the method; overestimates for pyramidal sections compared with the prismoidal formula
Worked example: 120 and 180 ft² sections 100 ft apart. Source: add-survey-suite scenario: 15,000 ft³ = 555.56 yd³. It is golden test vector v001, and every build checks the tool still gives its answer within its tolerance.
You enter
- End area A1
- 120 ft2
- End area A2
- 180 ft2
- Distance between sections
- 100 ft
You get
- Volume
- 555.56 yd³
- Volume (ft³)
- 15,000 ft³
Review: Not yet independently reviewed by a licensed surveyor.
Last verified: 2026-09-23, when a maintainer last confirmed this tool's sources at the issuer. See the sources ledger.
Status: version 1.0.0, core 0.1.0. See this tool in the verification report.
Checked against: 5 golden test vectors (download the test vectors, each with its source and tolerance). See how results are checked and every source.
Sources
- Elementary Surveying: An Introduction to Geomatics, Ghilani, C. D., and Wolf, P. R., Pearson, 16th edition. Chapters 10 (traverse computations), 12 (area), 24 (horizontal curves), 25 (vertical curves), 26 (volumes).
Experimental means this tool has not yet met the stable bar: at least 20 golden vectors, differential tests, and an independent worked example.