Cut and Fill Volume Calculator: Earthwork Grading in Cubic Yards
Multi-station Average End Area and Prismoidal methods with USCS soil swell/shrink factors, US regional cost estimates, and a mass haul chart. Built for grading contractors and civil engineers.
📏 AEA + Prismoidal Methods🌱 14 USCS Soil Types💰 US Regional Cost Data 2025📊 Mass Haul Chart📄 PDF Report✅ Free Forever
Cut and Fill Volume Calculator
Choose Multi-Station AEA for road or site grading with multiple cross-sections, or Prismoidal for a precise two-section comparison with a midpoint area.
Station Cross-Section Data
Station
Cut Area (ft²)
Fill Area (ft²)
Dist. to Next (ft)
Soil Properties
Swell and shrink values auto-fill. Override below if you have site lab data.
%
%
Regional Cost Estimation
Populates benchmark rates. Edit any rate below to match your actual bid conditions.
$
$
$
CY
Standard US tandem-axle dump truck: 12 to 16 CY loose. Tri-axle: 16 to 20 CY.
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Enter station data and click Calculate to see cut, fill, and cost results.
Earthwork Results
💰 Cost Estimate
📊 Mass Haul Diagram: Cut and Fill per Station Pair
Shared with AEA tab above.
Two-Section Prismoidal Inputs
The Prismoidal Formula uses three cross-sections: start (A1), midpoint (Am), and end (A2). Am is measured at the exact halfway point between A1 and A2 stations. Source: FHWA NHI-10-009 Figure 10.10.
ft
Soil and Cost (shared with AEA tab)
Soil type, swell/shrink factors, region, and cost rates are shared with the AEA tab. Set them there and they apply here automatically.
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Enter A1, Am, A2 cross-section areas and distance, then click Calculate.
Prismoidal Results
📊 AEA vs Prismoidal Comparison
What Cut and Fill Calculations Control in Every US Grading Job
When a grading contractor picks up a set of plans, the first number they need is the earthwork balance: how many cubic yards of soil must be cut from high spots and placed as fill in low spots to reach the finished grade shown on the grading plan. That single number, called the mass haul balance, drives every decision that follows: how many machines to mobilize, how many dump trucks to put on the road, whether the site is a net exporter of soil or a net importer, and ultimately whether the job makes money or bleeds out in unexpected trucking costs.
Across the United States, excavation work costs between $2.50 and $15.00 per cubic yard depending on region, soil type, and equipment access, according to HomeGuide’s 2026 national contractor survey. On a mid-size residential subdivision grading contract moving 30,000 cubic yards, a calculation error of just 5 percent means 1,500 CY of material that was never budgeted. At $9.75 per CY for the Texas market (Kitching/DirtworX 2025 regional benchmark), that is $14,625 in unplanned cost before the first truck rolls.
FHWA validation: The Federal Highway Administration’s earthwork design guidance (Federal Lands PDDM Equation 9.5.1A(1)) confirms the Average End Area formula as the standard method for US highway and site grading volume calculation. The FHWA explicitly notes that AEA “gives results, in general, larger than the true volume,” making the prismoidal correction relevant for tight bid margins on complex terrain.
The Real Financial Weight of Getting Earthwork Wrong
A 2025 analysis of construction project overruns found that 85 percent of US construction projects experience some cost overrun, with earthwork among the top contributors. The two most common sources of earthwork bid error are: (1) using bank cubic yards for haul planning without converting to loose cubic yards, and (2) assuming site balance without accounting for soil shrinkage during compaction.
Here is what those errors look like in practice. A site superintendent plans a fleet of 14-CY tandem-axle dump trucks to haul 8,000 bank cubic yards of lean clay off a net-export site. He calculated he needs 571 loads. But he forgot that lean clay swells 25 percent when excavated. The actual loose volume is 10,000 CY, requiring 714 loads, not 571. The extra 143 truckloads, at $185 per round trip in a Midwest market, cost $26,455 more than the bid. The company did not go bankrupt, but they did call it the job that taught them to always convert before they count trucks.
Bank CY vs. Loose CY vs. Compacted CY: The Three Numbers Every Grader Tracks
Every earthwork calculation exists in one of three states, and confusing them is the most expensive mistake in the business:
Bank Cubic Yards (BCY): The volume of soil as it exists in its natural, undisturbed state in the ground. This is what your surveyor measures when they compute cut and fill volumes from a grading plan. BCY is the basis for all cut and fill quantity takeoffs.
Loose Cubic Yards (LCY): The volume of the same soil after excavation. Because excavation breaks apart the natural particle structure and introduces air voids, LCY is always larger than BCY. The expansion percentage is called the swell factor. This is the number you use for haul truck planning, because dump trucks carry loose material, not bank material.
Compacted Cubic Yards (CCY): The volume of soil after it has been placed in a fill zone and compacted to a specified density (typically 95 percent Standard Proctor per ASTM D698 for highway subgrade). Compacted volume is always smaller than bank volume because compaction forces particles closer together. The reduction percentage is the shrink factor. This is the number you need to verify that your fill zones will actually reach the required finished grade.
The relationship between the three states: BCY is the reference. LCY equals BCY times (1 plus the swell factor divided by 100). CCY equals BCY times (1 minus the shrink factor divided by 100). For a site cutting 10,000 BCY of lean clay (25 percent swell, 12 percent shrink), the site produces 12,500 LCY for haul planning and requires 8,800 CCY in the fill zone to achieve the design grade.
How the Average End Area and Prismoidal Methods Work
This calculator implements two mathematically distinct methods for earthwork volume calculation, both sourced from FHWA engineering guidance. Understanding which method to use, and when the difference matters, separates precise bid preparation from rough estimating.
Average End Area Method: The FHWA Standard for US Site Work
The Average End Area (AEA) method is the most widely used earthwork volume calculation technique in the United States. It is referenced in the FHWA Federal Lands Highway Program Development and Design Manual (PDDM), Equation 9.5.1A(1), and in AASHTO geometric design guidelines for highway earthwork takeoffs.
The formula is straightforward: volume in cubic yards equals the distance between two cross-sections (L, in feet) multiplied by the average of the two end areas (A1 and A2, in square feet), divided by 54 to convert cubic feet to cubic yards. Written out: V = L × (A1 + A2) / 2 / 27.
AEA: V (CY) = L × (A1 + A2) / 2 / 27
Source: FHWA Federal Lands PDDM Equation 9.5.1A(1) | L in feet, A1/A2 in square feet
For a project with multiple cross-sections at regular station intervals, the total volume is the sum of the volumes computed between each pair of adjacent stations. This calculator handles up to 12 stations (11 volume segments) dynamically, making it applicable to anything from a two-section simple excavation to a multi-station road embankment.
AEA is accurate within 3 to 8 percent of true volume for uniform terrain with appropriate station spacing. It consistently overestimates slightly when cross-section areas change rapidly between stations, which is why the FHWA recommends applying the prismoidal correction on complex terrain profiles.
Prismoidal Formula: When Precision Outweighs Simplicity
The Prismoidal Formula provides a more accurate volume estimate when the cross-section changes significantly between the start and end stations. It works by incorporating a measured midpoint area (Am), effectively applying Simpson’s One-Third Rule to the volume integration. The formula is: V = L/6 × (A1 + 4Am + A2) / 27.
Prismoidal: V (CY) = L/6 × (A1 + 4Am + A2) / 27
Source: FHWA NHI-10-009, Figure 10.10 | Am = cross-sectional area at the exact midpoint between A1 and A2
For most residential and light commercial grading work, the difference between prismoidal and AEA is under 5 percent, making AEA accurate enough for bid preparation. On highway embankments with rapidly changing cut profiles, the prismoidal approach can yield corrections of 5 to 12 percent, which on a 100,000-CY contract represents 5,000 to 12,000 CY of material value. At $8 to $12 per CY, that is $40,000 to $144,000 in material cost difference from a single formula choice.
When to use each method: use AEA for multi-station projects and preliminary estimates where speed matters. Use Prismoidal when you have a critical two-section segment with a complex profile, when the project contract requires prismoidal volumes, or when your Civil 3D output uses prismoidal and you need to verify a specific station pair manually.
Station Spacing and Accuracy
The accuracy of the AEA method is directly tied to station spacing. Tight spacing captures terrain changes that wide spacing misses:
100-foot stations: Standard for highway earthwork in gently rolling terrain. Produces 3 to 5 percent accuracy on uniform profiles.
50-foot stations: Recommended for complex or rapidly changing terrain. Reduces error to 1 to 3 percent on most profiles.
25-foot stations: Used for highly irregular terrain or when payment quantities are disputed. Approaches the accuracy of 3D surface modeling methods.
USCS Soil Swell and Shrink Reference Values for US Earthwork
The following swell and shrink values are based on industry-standard USCS soil classifications from ASTM D2487 and FHWA geotechnical reference materials. These are typical ranges for US soils in normal moisture conditions. Site-specific laboratory testing should be used for final design quantities on contracts over 10,000 CY.
USCS Symbol
Soil Description
Swell Factor
Shrink Factor
Common US Locations
GW
Well-Graded Gravel
10%
0%
River valleys, glacial outwash, ballast
GP
Poorly-Graded Gravel
12%
0%
Arid West, desert alluvium
SW
Well-Graded Sand
12%
2%
Coastal plains, floodplains
SP
Poorly-Graded Sand
13%
2%
Beach, dune, desert
SM
Silty Sand
15%
5%
Southeast, fluvial deposits
SC
Clayey Sand
18%
8%
Piedmont, residual soils
ML
Silt (Low Plasticity)
20%
10%
Loess, Mississippi Valley
CL
Lean Clay
25%
12%
Midwest, Great Plains, Texas
OL
Organic Silt
28%
15%
Swamps, coastal marshes
MH
Elastic Silt (High Plasticity)
30%
15%
Pacific Northwest volcanic soils
CH
Fat Clay
35%
18%
Gulf Coast, Houston, Dallas
OH
Organic Clay
38%
20%
Bayous, river delta fills
SR
Soft Rock (Shale / Limestone)
30%
0%
Appalachians, Ozarks, Texas Hill Country
HR
Hard Rock (Granite / Basalt)
50%
0%
Mountain West, Sierra Nevada, Cascades
US Regional Excavation Cost Benchmarks (2025)
The following regional cost benchmarks are derived from a 150-contractor survey across the United States conducted by Kitching and DirtworX between September and December 2024. These represent typical costs for ordinary soil excavation in good access conditions. Rock, contaminated soil, or restricted-access sites will command significantly higher rates.
US Region
Cut Rate ($/CY)
Haul Rate ($/CY)
Fill Import ($/CY)
Key Driver
Northeast (NY, MA, CT, NJ)
$12.50
$22.00
$28.00
Labor rates, dense soils
Mid-Atlantic (PA, MD, VA, DE)
$10.50
$18.00
$23.00
Rock, urban congestion
Southeast (FL, GA, NC, SC)
$9.50
$17.00
$22.00
Rapid growth demand
Midwest (OH, IN, IL, MI)
$7.00
$13.00
$15.00
Favorable soil, competition
Texas
$9.75
$18.00
$24.00
Expansive clay, caliche rock
Southwest (AZ, NM, NV, UT)
$8.50
$15.00
$19.00
Caliche, desert hardpan
Mountain West (CO, ID, MT, WY)
$8.00
$14.00
$18.00
Rock, elevation factors
West Coast (CA, OR, WA)
$11.00
$20.00
$25.00
Labor, disposal costs
Three Real US Site Projects: Earthwork Math From the Field
The following examples walk through cut and fill calculations on three realistic US grading projects, using current regional cost data and verified USCS soil factors. These scenarios represent the type of work that grading contractors, civil engineers, and site developers run through regularly on ordinary US projects.
📍 Phoenix, Arizona
Industrial Park Site Grading, 15 Acres
A tilt-up industrial park in the Valley of the Sun requires grading a 15-acre site. The grading plan shows 5 stations at 200-foot intervals. Cut areas: 180, 145, 90, 60, 30 ft². Fill areas: 10, 25, 55, 90, 120 ft². Soil is sandy gravel (GW) with 10% swell.
Total Cut: 3,444 BCY (3,788 LCY). Total Fill: 1,111 BCY. Net Export: 2,333 BCY. At $8.50/CY cut + $15/CY haul (SW rate): estimated total $50,244. Haul loads: 271 tandem trucks at 14 CY.
📍 Nashville, Tennessee
Highway Embankment Section, 600-Foot Alignment
A state highway embankment project uses the prismoidal method for a critical 600-foot segment. The start section (A1) shows 310 ft² cut, 0 fill. The midpoint (Am) shows 225 ft² cut, 15 ft² fill. The end section (A2) shows 80 ft² cut, 60 ft² fill. Soil is lean clay (CL), 25% swell.
Prismoidal Cut: 2,578 BCY (3,222 LCY). AEA would have given 2,722 BCY: a 144-CY overestimate (5.6%). At Tennessee Southeast rate $9.50/CY, the AEA overestimate represents $1,368 in phantom cost. Prismoidal saves the accurate answer.
📍 Indianapolis, Indiana
Residential Subdivision Balance Check, 8 Acres
A 12-lot subdivision attempts a balanced earthwork design to avoid import/export costs. Three stations at 150-foot spacing show: Cut 420/310/120 ft², Fill 80/180/380 ft². Soil is silty sand (SM), 15% swell, 5% shrink.
Cut: 2,083 BCY. Fill Required: 2,000 BCY. Net Surplus: 83 BCY. Near-balanced: no fill import needed. Compacted fill available: 1,979 CCY (adequate for design). Midwest Excavation cost at $7.00/CY: $14,583. Project is viable as a balanced site.
Six Tips from US Grading Contractors and Civil Engineers
1
Always Run the Swell Conversion Before Pricing Haul
Never quote truck loads or haul costs in bank cubic yards. Trucks carry loose material. Convert BCY to LCY first using the swell factor for your soil type. A 25% swell on 10,000 BCY means 2,500 extra truck loads you did not account for.
2
Use 50-Foot Stations on Complex Terrain
Standard 100-foot station spacing introduces significant error on hillside sites with rapidly changing profiles. Drop to 50-foot stations on any project where the cut or fill area changes by more than 50 percent between adjacent stations.
3
Budget 10 to 15 Percent Contingency for Hidden Conditions
Underground rock pockets, buried debris, utility conflicts, and wet pockets not revealed in the soils report are the most common sources of earthwork overruns. The Propeller Aero 2025 construction study recommends 20 percent for earthwork specifically, given unknown site conditions.
4
Check the Mass Haul Diagram Before Equipment Selection
A mass haul diagram shows where cut peaks and fill peaks are positioned along a project alignment. If the cut zones are at one end of the site and the fill zones at the other, you need long-haul equipment (scrapers or tandem trucks) not dozers. This changes your equipment cost model entirely.
5
Verify Fill Shrinkage Against Your Compaction Spec
The shrink factor you use must match your project compaction specification. A 95 percent Modified Proctor density spec produces different shrinkage than a 95 percent Standard Proctor spec, especially in clay soils. Confirm with your geotechnical engineer before finalizing fill quantities.
6
Get a Drone Survey for Anything Over 5,000 CY
For projects where earthwork value exceeds $50,000, a photogrammetric drone survey with properly established ground control points typically achieves plus or minus 1 to 3 percent volumetric accuracy. The survey cost of $1,500 to $4,000 is recovered immediately in reduced contingency budgeting and eliminated quantity disputes. USGS 3DEP also provides free 1-meter LiDAR data for preliminary volume estimates on many US sites.
Quick Reference: Earthwork Formulas and Conversion Constants
Keep these numbers accessible during field work and bid preparation. They are the constants that come up in every earthwork calculation, regardless of project type or region.
Quantity
Formula / Value
Application
AEA Volume
V = L(A1+A2)/2/27
Standard earthwork between 2 sections
Prismoidal Volume
V = L/6(A1+4Am+A2)/27
Precision 2-section with midpoint
Loose CY
BCY x (1 + swell/100)
Haul truck and fleet sizing
Compacted CY
BCY x (1 – shrink/100)
Fill zone quantity verification
1 Cubic Yard
27 cubic feet
All US earthwork volume conversion
Standard Truck Capacity
12 to 16 CY (tandem-axle)
Haul fleet sizing
Tri-Axle Truck
16 to 22 CY
Larger haul fleet sizing
Sandy Soil Swell
10 to 13% (SW, SP)
Loose CY conversion
Lean Clay Swell
25% (CL)
Most common US fill soil
Fat Clay Swell
35% (CH)
Houston, Gulf Coast, heavy clay
Hard Rock Swell
50%
Mountain West, Sierra, Cascades
Standard Proctor Compaction
ASTM D698
Residential fill, non-structural
Modified Proctor Compaction
ASTM D1557
Highway subgrade, structural fill
US Median Cut Rate
$7 to $12.50/CY
2025 regional benchmark range
Frequently Asked Questions About Cut and Fill Volume Calculations
The Average End Area (AEA) method computes earthwork volume by averaging the cross-sectional areas at two adjacent stations and multiplying by the distance between them, divided by 27 to convert cubic feet to cubic yards. It is the standard method used in US highway and site grading work, referenced in FHWA Federal Lands PDDM Equation 9.5.1A(1). The FHWA notes it “gives results, in general, larger than the true volume.” Accuracy is typically 3 to 8 percent of actual volume for appropriate station spacing on uniform terrain. It tends to overestimate when cross-section areas decrease rapidly between stations, which is when the prismoidal correction provides a more accurate result.
The Prismoidal Formula adds a third measurement at the midpoint between the two end sections (Am). It then computes volume as V = L/6 x (A1 + 4Am + A2) / 27, applying Simpson’s One-Third Rule to the integration. This is mathematically exact for parabolic surface shapes and significantly more accurate on complex cross-sections where the area changes rapidly. The correction over AEA is typically 2 to 8 percent on uniform earthwork but can reach 10 to 15 percent on complex terrain transitions. FHWA NHI-10-009 (Figure 10.10) documents the prismoidal method as the more precise alternative when the AEA overestimate would significantly impact bid pricing or material balance.
When soil is excavated, the natural particle structure is disrupted and air voids open up between soil particles. This physical expansion is called swell. Clay soils have high swell because the flat plate-like clay particles were tightly packed in their natural state and spring apart when disturbed. Sandy soils swell less because their rounded particles did not interlock as tightly. Rock swells the most because blasting and crushing create enormous surface area and angular fragments with significant void space. Swell is expressed as a percentage: a 25 percent swell factor means that 100 BCY of bank soil produces 125 LCY of loose material for haul planning. This calculator uses verified USCS swell factors from FHWA geotechnical references and ASTM D2487 soil classification data.
A balanced earthwork site is one where the total volume of cut equals the total volume of fill, measured on a bank cubic yard basis, so no soil needs to be imported or exported. This is highly desirable for several reasons: it eliminates import and haul-off costs (typically $13 to $28 per CY depending on region), it avoids the permit and logistics requirements of off-site soil disposal, and it simplifies the project schedule by removing the dependency on trucking fleets. Civil engineers often adjust proposed finished grades iteratively during design to approach a balanced earthwork condition. This calculator displays the net balance after every calculation, showing clearly whether the site is balanced, in surplus (export), or in deficit (import).
Station spacing depends on terrain complexity and the required accuracy: 100-foot intervals work for gently rolling terrain where cross-section areas do not change dramatically between stations; 50-foot intervals are recommended for complex terrain where the cut profile changes significantly; 25-foot intervals are used for highly irregular terrain or when payment quantities are disputed. The FHWA notes that closer spacing produces results closer to true prismoidal volume. In flat or gently rolling areas where you are grading a building pad or parking lot, a simple borrow-pit grid method using elevation points on a regular grid may produce more intuitive results than AEA chain calculations.
Standard US dump truck capacities by type: single-axle dump trucks carry 6 to 10 CY; tandem-axle trucks carry 12 to 16 CY (most common for construction site haul); tri-axle trucks carry 16 to 22 CY; semi-trailer end dump trucks carry 20 to 24 CY; bottom-dump trailers carry 22 to 28 CY. For fleet sizing, always use loose cubic yards (LCY), not bank cubic yards, since trucks carry excavated material. The default in this calculator is 14 CY, representing a standard tandem-axle truck in normal soil conditions. Note that legal gross vehicle weight limits vary by state, ranging from 80,000 lbs on interstate highways to higher limits on state routes in some western states. Overloading trucks past weight limits triggers fines at state weigh stations and creates liability exposure on public roads.
The shrink factor accounts for the fact that soil occupies less volume after compaction than it did in its natural bank state. A 12 percent shrink factor on lean clay means that 100 BCY of cut material, when compacted into a fill zone, only occupies 88 CCY. To fill a design void of 1,000 CCY in that fill zone, you need more than 1,000 BCY of cut material: specifically 1,000 divided by (1 minus 0.12), which equals 1,136 BCY. If your cut only produces 1,000 BCY, you are actually 136 BCY short of meeting the fill compaction requirement, even if the BCY volumes appear balanced on paper. Always check the compacted CY output, not just the BCY balance, when verifying site balance for structural fill conditions.
Several US government standards govern earthwork measurement: the FHWA Federal Lands Program Development and Design Manual (PDDM) specifies the AEA method as the standard for highway earthwork. State DOT standard specifications govern payment measurement for state-funded projects, and these vary by state. The USACE (US Army Corps of Engineers) publishes EM 1110-2-1913 for embankment and earthfill work on federal water projects. AASHTO M-145 classifies soils for highway construction purposes. For private development, local municipal grading ordinances and the project soils report govern earthwork specifications. The FHWA Geotechnical Engineering library provides free access to all FHWA earthwork guidance documents.
A cross-section area for earthwork purposes is the area of the cut or fill shape measured on a plane perpendicular to the project alignment at a given station. On highway and grading plans, cross-sections are drawn at each station showing the existing ground surface (dashed line), the proposed finished grade (solid line), and the cross-hatched cut or fill area between them. The cut area is above the proposed grade, and the fill area is below it. To measure the area: most civil engineers use planimeter tools in Civil 3D or Carlson Survey, or apply the coordinate method to the vertices of the cross-hatched polygon. For simple trapezoidal cross-sections, the area equals (top width plus bottom width) divided by 2, multiplied by the height. For irregular shapes, break the cross-section into triangles and compute each area separately.
A mass haul diagram is a graph that plots the cumulative algebraic sum of cut and fill volumes along a project alignment. The horizontal axis shows the station distance along the project, and the vertical axis shows the cumulative volume, positive for cut surplus and negative for fill deficit. The diagram reveals: where the project is in balance (the curve crosses zero), where excess cut material must be wasted (disposed off-site), where fill must be borrowed (imported), and the economic limit of haul (the maximum distance at which hauling existing cut is cheaper than importing new fill). Mass haul diagrams are primarily used on highway and linear grading projects. This calculator’s bar chart visualization shows the per-station cut and fill volumes, which is the primary data needed to construct a full mass haul diagram.
Yes, with some adaptation. For pond or retention basin excavation, use the multi-station AEA mode with cross-sections at regular intervals along the pond alignment. At each station, the cut area represents the excavated cross-section of the basin at that point, and fill equals zero (assuming no fill within the pond). The result gives total excavation volume in BCY for the pond. For excavation swell planning, select the appropriate USCS soil type. For a more precise approach on irregularly shaped basins, a grid method using elevation points on a regular grid (measuring the depth of excavation at each grid point) is more accurate than cross-sections. The USACE uses the prismoidal formula for detention basin volume calculations as documented in FHWA drainage design guidance.
Rock dramatically changes both the cost and the volume calculations. Hard rock (granite, basalt) has a swell factor of 50 percent or more, meaning 1,000 BCY of in-place rock becomes 1,500 LCY of blasted material in the truck. This also means you need significantly more trucks and disposal capacity than the BCY volumes suggest. Cost-wise, rock excavation runs $50 to $200+ per cubic yard including drilling, blasting, and removal, compared to $7 to $12.50 for ordinary soil. Always check the soils report for rock refusal depths before finalizing earthwork estimates. If the soils report is unavailable, budget 15 to 20 percent contingency for potential rock. Note that blasted rock cannot be reused as structural fill without crushing, which adds additional cost not captured in the basic cut-and-fill calculation.
Requirements vary significantly by state and municipality. Generally: a grading permit is required for any earthwork exceeding a threshold set by the local jurisdiction (commonly 50 CY or more). Soil export to a new site often requires the receiving site to have its own grading or fill permit. If the soil contains any contamination, a hazardous materials designation triggers federal and state EPA disposal requirements, including manifest documentation. Fill imported from an unknown source may require soil testing and certification before placement on regulated projects. Some municipalities require encroachment permits or haul route approval for large earthwork projects that will use local roads for significant truck traffic. Always contact the local building and planning department before planning large earthwork import or export operations. The EPA Brownfields Program provides guidance on contaminated soil handling requirements.
For multi-station AEA calculations with the same input data (cross-section areas and station distances), this calculator will produce results that match Civil 3D’s AEA output to within rounding precision. Both use the same FHWA AEA formula: V = L(A1+A2)/2/27. Where results may differ: Civil 3D builds a full 3D surface model and integrates volume over the entire surface, which inherently captures terrain variation that cross-sections alone cannot. This captures irregularities between stations that the AEA chain method misses. Civil 3D also applies automatic prismoidal corrections in some configurations. This calculator is accurate for the cross-section data you provide, but cannot capture between-station terrain variation without more stations. For preliminary bids and field verification of software output, these results are reliable. For final contract quantities on large projects, Civil 3D or comparable surface modeling software should be used.
Yes. The PDF report generated by this calculator includes: all input values (project name, soil type, swell/shrink factors, region, cost rates, station data), all output results (BCY, LCY, CCY, net balance, truck loads, cost estimates), and a formula reference section citing the FHWA source for the calculation method used (FHWA Federal Lands PDDM Equation 9.5.1A(1) for AEA, FHWA NHI-10-009 Figure 10.10 for prismoidal), the USCS reference for swell/shrink factors, and the 2025 Kitching/DirtworX contractor survey for cost benchmarks. This documentation makes the PDF suitable for attaching to a bid package, client deliverable, or permitting application as supporting calculation documentation.
Standard practice for earthwork contingency on US projects: 10 to 15 percent for well-documented sites with a recent geotechnical investigation, good access, and ordinary soil conditions. A 2025 analysis by Propeller Aero specifically recommends 20 percent contingency for earthwork because it is one of the highest-risk construction activities, subject to unknown ground conditions, weather delays, groundwater intrusion, and utility conflicts that can materially change scope without changing the contract price. Rock risk sites (where the soils report shows rock refusal within the cut zone) warrant 25 to 40 percent contingency because rock excavation can cost 10 to 20 times more than ordinary soil per cubic yard. On competitively bid public projects, the common practice is to include an earthwork allowance item separate from the unit price to capture unknown conditions without exposing the contractor to unquantified risk.
The Cut and Fill Volume Calculator and associated content are provided for educational purposes and preliminary estimation only. All formulas are sourced from published US engineering standards: Average End Area from FHWA Federal Lands PDDM Equation 9.5.1A(1); Prismoidal Formula from FHWA NHI-10-009 Figure 10.10; soil swell/shrink factors from USCS ASTM D2487 industry references; cost benchmarks from the Kitching/DirtworX 150-contractor US regional survey (September to December 2024, published 2025).
Results must be reviewed by a licensed Professional Engineer (PE) or licensed General Contractor before use in contract bidding, construction, or permitting. Swell and shrink factors represent industry averages and do not replace site-specific geotechnical investigation or laboratory testing. Regional cost data represents market benchmarks and may not reflect actual local conditions, prevailing wage requirements, or current material prices. Always obtain competitive bids from licensed contractors for accurate project pricing.
This site has no affiliation with FHWA, USACE, OSHA, EPA, or any other government agency. External links are provided for informational reference. If you identify a calculation error, please contact us through the site contact page. Content is reviewed periodically by USCalculators.com editorial staff.