Earthwork Volume Calculator
Calculate earthwork cut or fill volume using the Average End Area method. Estimates truck loads and cost for excavation or fill operations.
About this calculator
Earthwork volume is the amount of soil that must be cut (excavated) or filled (placed as embankment) to bring a site from its existing grade to a designed finish grade. This calculator applies the Average End Area method, the standard technique civil engineers and surveyors use to estimate volume between two surveyed cross-sections along a roadway, pad, or trench alignment: Volume = (Area 1 + Area 2) / 2 x Segment Length. Multiplying by the Number of Segments extends the same average across a longer run of stations that share similar cross-sections -- for an alignment where the cross-section changes shape significantly from station to station, calculate each segment separately rather than reusing one pair of end areas. The Average End Area method is an approximation: because it assumes the cross-sectional area transitions in a straight line between the two end sections, it can overstate volume where the true transition is more like a wedge or a pyramid (for example, a short ramp cut into a corner), where the more exact prismoidal formula would return a smaller figure.
This calculator also applies a swell adjustment for cut material -- excavated soil loses its natural in-place compaction and bulks up in volume, commonly by roughly a quarter for ordinary earth, so a bank-measure cut volume converts to a larger loose volume once it's loaded onto trucks. Fill material is left unadjusted here since it is typically re-compacted at the point of placement rather than hauled loose. The Truck Loads and Estimated Cost outputs are planning-level approximations only: Estimated Cost applies a flat placeholder rate of $5 per cubic yard for cut and $8 per cubic yard for fill (fill costs more per yard here because it accounts for compaction effort that cut does not need), and actual haul-truck capacity and unit pricing vary by region, hauler, and soil type, so confirm both rates with your contractor or hauler before bidding a job.
Inputs
Results
Volume
925.9 yd³
≈ 14 backyard pools
Truck Loads (15 yd³)
78
How to Use This Calculator
- Enter cross-section areas at each station end and the segment length between them.
- Set number of segments and select cut (excavation) or fill (embankment).
- Review total volume in cubic yards using the average end area method.
- Apply a swell or shrinkage factor to convert between bank, loose, and compacted measure.
How the result changes with Segment Length
| Segment Length | Volume | Truck Loads (15 yd³) |
|---|---|---|
| 50 | 463 yd³ | 39 |
| 75 | 694.4 yd³ | 58 |
| 150 | 1,388.9 yd³ | 116 |
| 250 | 2,314.8 yd³ | 193 |
What each input means
- Cross-Section Area 1
- Area of the first cross-section. Measured from surveyed ground profile and design grade.
- Cross-Section Area 2
- Area of the second cross-section at the other end of the segment.
- Segment Length
- Distance between cross-sections along the alignment. Typical station spacing is 50-100 ft.
- Number of Segments
- Number of segments with similar cross-section areas. For varying sections, calculate each separately.
- Type
- Cut = removing soil (25% swell factor applied). Fill = placing soil (no swell, but compaction needed).
How this is calculated
Worked example, using the default values
- Identify Input Parameters5 parametersCross-Section Area 1 = 200, Cross-Section Area 2 = 300, Segment Length = 100, Number of Segments = 1, Type = 1 = 5 input(s) provided
- Calculate Volume (Cubic Yards)Volume925.9 = 925.9
- Calculate Truck LoadsTruck Loads78 = 78
- Calculate Volume (Cubic Feet)Volume = totalVolumeCuFt25000 = 25000
- Calculate Adjusted VolumeAdjusted Volume1157.4 = 1157.4
Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does the Average End Area method sometimes overstate the real volume?
The method assumes the cross-sectional area changes in a straight line from one surveyed section to the next, which is a reasonable approximation for a roadway or trench with gradually changing sections. It tends to overstate volume where the true transition is wedge- or pyramid-shaped rather than linear -- a short corner cut or a tapering ramp, for instance -- because the true volume there is closer to a third of the base area times the length, not half the sum of two end areas. For those shapes, the more exact prismoidal formula gives a smaller, more accurate number.
Why is the adjusted cut volume larger than the plain calculated volume?
Soil in its natural, undisturbed state is fairly compact. Once you excavate it, the particles no longer pack together as tightly and the material bulks up -- this calculator applies a roughly 25% swell factor to cut volumes to estimate that loose, hauled volume from the bank (in-place) volume the Average End Area formula produces. Fill volumes aren't adjusted here because placed fill is typically re-compacted at the job site rather than measured loose.
Should I use the same swell assumption for every soil type?
No. This calculator applies one representative swell factor for planning purposes, but actual swell varies by material -- loose sand swells much less than dense clay or rock, which can swell considerably more than the roughly 25% assumed here. For bid-level accuracy, use a swell factor specific to the site's actual soil classification, typically available from a geotechnical report or local hauler experience.
How many cross-sections do I need for an accurate volume estimate?
More stations generally means a more accurate result, since each pair of adjacent cross-sections is treated as changing linearly in between. For a roadway or pad with a fairly uniform slope, stations every 50 to 100 feet are common; where the terrain or design grade changes quickly, add more closely spaced sections so each segment is truly a good linear approximation of what's between them.
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