Cut and Fill Calculation: The Contractor's Complete Guide
Master cut and fill calculation with cubic-yard math, swell and shrink factors, balancing, and trucking costs. A practical field guide for earthwork pros.
Photo by Tom Fisk on PexelsCut and Fill Basics: What Every Contractor Needs to Know
Cut and fill calculation is the backbone of every site work estimate. Get it wrong, and you either run short on import fill or pay to haul away material you could have used on-site. The concept is simple: cut is the volume of native soil you remove to reach subgrade; fill is the volume of material you place and compact to bring the site up to design grade. The difference between the two, adjusted for how soil behaves when disturbed, tells you whether you need to import fill dirt or export excess soil.
Native soil in place is measured in bank cubic yards (BCY). Once you excavate it, it fluffs up into loose cubic yards (LCY) because of swell. Once you place and compact it as fill, it shrinks into compacted cubic yards (CCY). Those three states are the reason a rookie estimate can be off by 25% or more.
Here is the field formula most estimators carry in their head:
- Cut (BCY) x swell factor = loose volume to haul
- Fill (CCY) x shrink factor = bank volume needed to produce that fill
- Net = cut bank volume - fill bank volume
If net is positive, you have export material. If negative, you need import. If it is near zero, you can balance the site.
Before you run any numbers, confirm your survey. A drone flight or topo survey gives you existing ground; the civil plans give you design grade. The vertical difference across a grid, multiplied by the area of each grid cell, is your starting point. Most takeoffs use a 25 ft or 50 ft grid and average the depths at the corners.
Rule of thumb: A 1 ft average depth change over 1 acre equals roughly 1,613 cubic yards. That number alone will tell you whether you are looking at a small import or a full-scale dirt operation.
If the numbers say you need fill, browse fill dirt listings on NeedsDirt.com to compare local sources before you commit to a haul schedule.
The Core Formulas: How to Calculate Dirt Needed by Hand or Calculator
You do not need expensive software to get a solid cut and fill calculation. You need consistent units, a grid, and the right adjustment factors. Here is the process step by step.
Step 1: Build your grid. Lay a grid over the site plan. For most residential and light commercial jobs, 25 ft spacing is plenty. Number the grid intersections and record existing elevation and proposed elevation at each point.
Step 2: Compute depth at each node. Depth = proposed elevation - existing elevation. Positive means fill; negative means cut.
Step 3: Average each cell. For a rectangular grid, average the four corner depths. For triangles, average the three corners.
Step 4: Convert to volume. Volume (cubic feet) = average depth (ft) x cell area (sq ft). Then divide by 27 to get cubic yards.
Step 5: Sum cut cells and fill cells separately. Keep them separate. Never net them until you have applied swell and shrink.
Step 6: Apply factors. Cut bank yards x swell = loose yards to haul. Fill compacted yards x shrink = bank yards required.
If you would rather not do it by hand, an earthwork volume calculator or a takeoff app will do the same math, but you still have to feed it correct factors. Garbage in, garbage out.
A worked example: 100 ft x 100 ft pad, average fill depth 0.75 ft. Volume = 100 x 100 x 0.75 = 7,500 cu ft = 278 CY compacted. If shrink factor is 0.85, bank volume needed = 278 / 0.85 = 327 BCY. If you import loose fill at 1.25 swell, you need 278 x 1.25 = 348 LCY delivered. That difference matters when you are paying by the truckload.
When you need to source that material, NeedsDirt.com lets you search by location and material type so you can match the spec to the job.
Swell and Shrink Factors: The Numbers That Make or Break Your Estimate
Swell and shrink are not guesses. They are measurable properties of the soil you are moving. Swell is the percentage increase in volume when bank soil is excavated and loosened. Shrink is the percentage decrease from bank volume to compacted volume after placement. Both are expressed as decimals in the formulas above.
Typical ranges you can rely on in the field:
- Sand and gravel: swell 10-15%, shrink 5-10%
- Common earth/loam: swell 20-30%, shrink 10-15%
- Clay: swell 25-40%, shrink 15-25%
- Rock (blasted): swell 50-80%, shrink 0-5%
Those are starting points. A proctor test on the actual borrow material gives you the real compaction curve and the real shrink number. If you are importing fill from an unfamiliar source, ask for a proctor. It costs a few hundred dollars and can save thousands in over-ordering.
Two mistakes kill estimates. First, applying swell to fill volume instead of cut volume. Swell only applies to material you excavate and haul. Second, forgetting that compaction specs change the math. A 95% standard proctor spec requires more material than a 90% spec for the same finished volume.
If your cut is clay and your fill is structural, do not assume the clay can stay on-site as fill. Clay may need to be undercut, replaced, or lime-stabilized. That decision changes the entire balance.
Keep a log of swell and shrink factors from past jobs. After a few projects, you will have local numbers that beat any textbook range. And when you are short on fill, compare delivered loose-yard pricing on NeedsDirt.com against your own haul cost from a distant pit.
Balancing Cut and Fill On-Site to Minimize Import and Export
The cheapest dirt is the dirt already on your site. A balanced site means no import trucks and no export trucks, which can save tens of thousands on a mid-size job. The goal is to match the bank volume of usable cut to the bank volume required for fill, after swell and shrink.
Start with the net bank volume. If cut bank yards exceed fill bank yards, you have export. If fill exceeds cut, you have import. If they are within about 5%, you can usually balance by adjusting grades slightly, thickening or thinning fill lifts, or using a small stockpile.
Strategies that work in the field:
- Grade adjustment: Raise or lower the site by a few tenths of a foot to absorb the difference.
- Stockpiling: Keep usable cut on-site for later fill instead of hauling it off and buying it back.
- Material separation: Stockpile topsoil, unsuitable clay, and structural fill separately. Mixing them creates expensive problems.
- Phasing: Cut one area first, use that material as fill in another, then return to finish the first area.
Unsuitable material is the wild card. Organic topsoil, expansive clay, and debris-laden soil cannot go under a slab or pavement. Those volumes must be exported and replaced with approved fill. That is often where a balanced site turns into a net import job.
Track your balance daily with a simple spreadsheet: cut yards, fill yards, swell, shrink, running net. Update it every afternoon. If the net drifts, you still have time to adjust grades before the trucks roll.
If you determine you need import, NeedsDirt.com is built for exactly this: find fill dirt near you, compare sources, and coordinate delivery without calling a dozen pits.
Importing Fill Dirt: Specs, Sources, and Delivery Math
When the balance tips negative, you import. But not all fill is equal. Structural fill under a building pad has different requirements than bulk fill in a landscape berm. Know the spec before you buy.
Common fill categories:
- Structural fill: clean sand, gravel, or approved select soil, compacted in lifts to a specified proctor.
- Bulk fill: acceptable native soil free of organics and debris, used for mass grading.
- Topsoil: screened, organic-bearing material for final landscaping.
- Sand/aggregate: for drainage, bedding, and stabilization.
Delivery math is straightforward but easy to botch. If you need 500 compacted cubic yards and your shrink factor is 0.85, you need 588 bank yards. If the source sells by loose cubic yard with 1.25 swell, you need 735 LCY. A 14-yard dump truck holds about 14 LCY, so that is roughly 53 loads. At $500 per load delivered, you are at $26,500 before spreading and compaction.
Always confirm how the source prices material: by the bank yard, loose yard, or ton. A ton-priced source requires a density conversion. Dry sand might run 1.35 tons per cubic yard; wet clay can exceed 1.6.
Ask these questions before you commit:
- Is the material tested? Can I see a sieve and proctor?
- What is the swell factor for hauling?
- What is the minimum load and the delivery window?
- Is there a fuel or environmental surcharge?
NeedsDirt.com lets you filter fill dirt listings by location and material so you can compare delivered cost apples to apples. Do that comparison before you sign a purchase order.
Exporting Excess Soil: Dump Sites, Fees, and Haul Costs
When cut exceeds fill, you export. That means trucks, dump sites, and tipping fees. The math is the mirror image of import: cut bank yards x swell = loose yards to haul. A 1,000 BCY cut of common earth at 1.25 swell becomes 1,250 LCY, or about 89 loads in 14-yard trucks.
Dump site options vary widely:
- Commercial landfills: highest tipping fees, strict on debris and testing.
- Inert debris sites: moderate fees, accept clean soil and rock.
- Private fill sites: often free or low cost, but may have material restrictions and limited hours.
- Beneficial reuse projects: sometimes pay nothing and may even pay for clean fill.
Typical tipping fees range from $10 to $60 per ton depending on region and material. A 14-yard load of common earth at 1.3 tons per yard weighs about 18 tons, so a $25 per ton fee is $450 per load before hauling. That is real money. On a 100-load export, fees alone can hit $45,000.
Reduce export cost by:
- Sourcing a closer dump site. Haul distance is the biggest variable.
- Separating clean soil from debris so it qualifies for cheaper sites.
- Checking whether a nearby project needs fill. One contractor's export is another's import.
- Stockpiling on-site if you have room and a future use.
NeedsDirt.com lists dump sites near you so you can compare fees and haul distances in one place. That beats calling around while trucks sit idle.
Equipment, Compaction, and Field Verification
Your calculation is only as good as the execution. The right equipment and compaction discipline turn a paper balance into a finished grade that passes inspection.
Equipment selection by task:
- Excavation: excavator or dozer, matched to volume and access.
- Hauling: articulated dump trucks for off-road, tandem or tri-axle for street-legal.
- Spreading: dozer or grader for bulk, skid steer for tight areas.
- Compaction: vibratory roller for granular, sheepsfoot for cohesive soils, plate compactor for trenches.
Lift thickness matters. Most specs limit lifts to 8 in. loose for granular and 6 in. loose for cohesive soils. Thicker lifts do not compact to spec, and you will fail density tests. Each lift needs the right moisture content. Too dry and it will not bind; too wet and it pumps. A water truck and a disc or tiller are standard tools on any serious fill job.
Verification is non-negotiable. A nuclear density gauge or sand cone test confirms you hit the required proctor. Typical specs are 95% standard proctor under structures and 90-95% under pavement. Test at the frequency the spec requires, and keep records.
Field tip: If your density tests keep failing in the same area, check the moisture first. Nine times out of ten it is a water problem, not a compaction problem.
Track actual quantities against your estimate as you go. If you are running 10% over on fill, you either have a shrink factor problem, a subgrade problem, or a survey problem. Catch it early. If the shortfall is real, source more fill fast on NeedsDirt.com rather than waiting on a single supplier.
Estimating Trucking Costs and Building a Realistic Earthwork Budget
Trucking is often the largest single line item in an earthwork budget. Get it wrong and your margin disappears. Build the cost from the ground up.
Key trucking variables:
- Load size: 10-14 LCY for tandem, 16-20 LCY for tri-axle, 20-30 LCY for articulated.
- Cycle time: load + haul + dump + return. A 30-minute cycle in a 10-hour day is about 20 loads per truck.
- Hourly rate: $120-$200 per hour for tandem, $150-$250 for tri-axle, higher for articulated.
- Mobilization: some haulers charge a daily or per-job mobilization fee.
Example: 735 LCY of import fill in 14-yard trucks is 53 loads. At 20 loads per truck per day, one truck needs about 3 days. At $175 per hour and a 30-minute cycle, that is roughly $87 per load, or about $4,600 in hauling. Add material cost at $300 per load and you are at $20,500 total. Add spreading and compaction at $4-$8 per CY and the job grows fast.
Budget line items to include:
- Survey and takeoff
- Clearing and grubbing
- Cut and haul
- Fill material purchase
- Trucking
- Spreading and compaction
- Dump fees or import fees
- Testing and inspection
- Contingency, typically 10-15%
Always carry contingency on earthwork. Underground surprises, unsuitable soils, and weather can swing volumes by double digits. A 10% contingency on a $50,000 dirt package is cheap insurance.
Use NeedsDirt.com to compare fill dirt and dump site pricing in your area, then plug those real numbers into your estimate instead of guessing. That is how you protect your margin on every dirt job.
Frequently Asked Questions
?How do I calculate cut and fill volume by hand?
Lay a grid over the site, record existing and proposed elevations at each node, average the depths per cell, multiply by cell area, and divide by 27 to get cubic yards. Sum cut and fill separately before applying swell and shrink factors.
?What is the difference between swell and shrink factor?
Swell is the volume increase when bank soil is excavated and loosened. Shrink is the volume decrease from bank soil to compacted fill. Cut volumes use swell; fill volumes use shrink.
?How many cubic yards are in a dump truck load?
A tandem axle dump truck typically holds 10-14 loose cubic yards. A tri-axle holds 16-20 LCY, and an articulated truck holds 20-30 LCY depending on the body.
?How do I know if I need to import or export dirt?
Convert cut to bank yards and fill to bank yards using the appropriate factors. If cut bank yards exceed fill bank yards, you export. If fill exceeds cut, you import. If they are within about 5%, you can often balance by adjusting grades.
?What is a good shrink factor for common earth fill?
Common earth typically shrinks 10-15% from bank volume to compacted volume. Clay can shrink 15-25%, while sand and gravel shrink only 5-10%. A proctor test on the actual material gives the most accurate number.
?How much does it cost to haul away excess soil?
Tipping fees range from $10 to $60 per ton depending on region and material, plus trucking at $120-$250 per hour. A 14-yard load can cost $300-$600 or more all-in depending on distance and fees.
?Can I use cut material as fill on the same site?
Yes, if the material meets the fill spec. Clean granular soil and acceptable native earth can be stockpiled and reused. Organic topsoil, expansive clay, and debris-laden soil usually cannot be used as structural fill and must be exported.
?Where can I find fill dirt or dump sites near my job site?
NeedsDirt.com lists fill dirt sources and dump sites by location and material type. You can compare delivered pricing, haul distances, and tipping fees in one place before committing trucks to the road.