Prismoidal volume
Earthwork volume by the prismoidal formula with a measured middle section, and its difference from the average end area method.
Experimental: not yet fully verified. How results are checked
The prismoidal volume is 550.62 yd³ (14,866.7 ft³), 4.94 yd³ less than average end areas.
- Volume (ft³)
- Average end area minus prismoidal
Provenance
- Computed by
- survey.earthwork.prismoidal 1.0.0, core 0.1.0
- Model
- V = L/6·(A1 + 4·Am + A2)
- Accuracy
- Exact for prismoids; needs a measured middle area
- 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/6·(A1 + 4·Am + A2)
Accuracy: Exact for prismoids; needs a measured middle area
Worked example: Middle area 148 ft² measured. Source: add-survey-suite scenario: 14,866.7 ft³. 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
- Measured middle area Am
- 148 ft2
- Distance between end sections
- 100 ft
You get
- Volume
- 550.62 yd³
- Volume (ft³)
- 14,866.7 ft³
- Average end area minus prismoidal
- 4.94 yd³
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: 6 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.