Cross-section cut and fill areas
Cut and fill areas between the existing ground and a design template across one station, each split where the two cross, with the grade points where they meet.
Experimental: not yet fully verified. How results are checked
The section has 144 ft² of cut and 64 ft² of fill.
| Offset |
|---|
| 8.000 ft |
- Fill area
- Left limit
- Right limit
Provenance
- Computed by
- survey.earthwork.section-area 1.0.0, core 0.1.0
- Model
- Both lines are linear between their points; over the span both cover, the area between them is integrated interval by interval, each interval split where the difference changes sign (Ghilani & Wolf 2021, ch. 26)
- Accuracy
- Exact for the lines given; the areas are as good as the ground shots and the template
- 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: Both lines are linear between their points; over the span both cover, the area between them is integrated interval by interval, each interval split where the difference changes sign (Ghilani & Wolf 2021, ch. 26)
Accuracy: Exact for the lines given; the areas are as good as the ground shots and the template
Worked example: A mixed section: cut on the left, fill on the right. Source: add-survey-suite mixed-section scenario. It is golden test vector v001, and every build checks the tool still gives its answer within its tolerance.
You enter
- Existing ground
- -40 ft, 106 ft 40 ft, 96 ft
- Design template
- -40 ft, 100 ft 40 ft, 100 ft
You get
- Cut area
- 144 ft²
- Fill area
- 64 ft²
- Left limit
- -40 ft
- Right limit
- 40 ft
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.
Changes
- 2026-09-23, fixed: Survey tools cite Ghilani and Wolf's Elementary Surveying, 16th edition (2021), but their method notes said "Ghilani & Wolf 2018". The notes now give 2021, the edition cited. No results change. Changelog
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. Chapter 26 (volumes: cross-section areas by coordinates, mixed sections).
Experimental means this tool has not yet met the stable bar: at least 20 golden vectors, differential tests, and an independent worked example.