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Project Volume Calculator

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2.469yd³

Geometric volume plus any chosen allowance

Equivalent cubic feet66.67 ft³Estimated weight2.96 US tonsMeasured footprint200 sq ft

Illustrative loose fill dirt density; verify with the hauling supplier. Allowances and costs are estimates; verify supplier units and field conditions.

Excavator loading fill dirt into a dump truck at a construction site
Editorial photograph: Pexels source. Locally generated WebP version.

Fill dirt estimates for three kinds of earthwork

The physical spaces below are distinct; they illustrate why backfill cannot always be calculated as one uniform rectangular layer.

Level area raised

30 × 18 ft × 8 in
13.33 yd³

540 sq ft × 8 in ÷ 324. This is geometric finished fill space, not automatically loose delivered yards.

Linearly tapered fill

40 × 20 ft; depth 0–9 in
11.11 yd³

For a true linear taper, average depth is 4.5 in. Volume = 800 × 4.5 ÷ 324.

Gross trench void

45 ft × 2 ft × 2.5 ft
8.33 yd³

45 × 2 × 2.5 ÷ 27. Subtract pipes, structures, specified bedding and other occupied space for net soil backfill.

Bank, loose and compacted: choose the right volume state

These terms refer to how the same material is measured at different stages; they cannot be converted with one universally valid factor.

SituationMethod or materialVerify before purchasing
Undisturbed cut volumeBank cubic yards (BCY)Original surveyed in-place earth
Excavated stockpile or deliveryLoose cubic yards (LCY)Swell and the supplier's load measurement
Finished placed fillCompacted cubic yards (CCY)Target grade and specified field density
Cut-and-fill balanceProject-adjusted BCY to CCY relationshipGeotechnical shrink/swell factor and unsuitable losses
Key factRaising a 20 × 15 ft rectangular area by 6 inches requires 5.56 cubic yards of geometric finished fill volume.

How to calculate fill dirt cubic yards

Measure the space to be filled, including length, width and target depth. For a rectangular level area, use length (ft) × width (ft) × fill depth (in) ÷ 324. A 20 × 15-foot area raised 6 inches has a geometric volume of 20 × 15 × 6 ÷ 324 = 5.56 yd³. This describes the target space, not necessarily the loose truck quantity.

Where soil is being moved between cut and fill areas, measure existing and proposed grades. Cut volume is the material removed, and fill volume is the volume required to establish the new grade. Subtracting one number from the other without accounting for soil state, suitability and loss can produce an inaccurate trucking plan.

Bank, loose and compacted cubic yards explained

These are three different measurement states. Bank cubic yards (BCY) describe earth in its original undisturbed position. Loose cubic yards (LCY) describe excavated or stockpiled material after its structure is disturbed. Compacted cubic yards (CCY) describe fill placed and compacted to the specified condition.

A volume of material may swell when dug, then reduce in volume when placed and compacted. The Federal Highway Administration's earthwork design guidance ↗ explains how shrink and swell depend on material and field conditions. A cubic yard measured in place cannot simply be assumed to equal one cubic yard in a truck.

Use density measurements or project-specific swell and shrinkage factors when converting between states. The calculator's extra percentage field is for scenarios, not a substitute for geotechnical testing or an earthwork mass-balance plan.

Earthwork volume terminology
TermWhat it measuresTypical planning use
BCY (bank)Undisturbed in-place soilExisting excavation / cut
LCY (loose)Excavated or stockpiled materialTruck loads / loose delivery
CCY (compacted)Placed soil at specified densityFinished fill / grading

These abbreviations describe volume states, not interchangeable units or universal conversion factors.

Fill depth chart for a level 100-square-foot area

For preliminary yard leveling, depth has a direct effect on required volume. The following values represent a uniform finished fill layer, without correction for settlement, compaction or changes in base elevations. A shallow top-up and a one-foot raise are very different hauling jobs.

Finished geometric fill volume for 100 square feet
Average fill depthCubic yardsCubic feet
20.62 yd³16.67 ft³
41.23 yd³33.33 ft³
61.85 yd³50 ft³
82.47 yd³66.67 ft³
123.7 yd³100 ft³

Do not use a single average thickness where site grades vary substantially.

Estimating fill for a sloped yard or changing grade

A flat-area formula assumes uniform fill depth. When the finished grade tapers from one end to another, depth varies across the footprint. For a simple planar taper with constant width and a depth that changes linearly, the average of the two end depths can estimate the geometric volume. This shortcut is not appropriate for irregular terrain, hollows or changing side slopes.

Example: a rectangular 40 × 20-foot zone rises from zero fill at one end to 12 inches at the other, with a linear grade across its 40-foot length. The average fill depth is (0 + 12) ÷ 2 = 6 inches. Estimated volume = 800 × 6 ÷ 324 = 14.81 cubic yards in the finished geometric space. This ignores material-state changes and any drainage or settlement requirements.

For meaningful siteworks, measured spot elevations, contour surfaces or engineering cross-sections provide better estimates than a guessed average depth. Keep erosion, drainage direction and adjoining properties in mind before altering grade.

Trench backfill: subtract the space occupied by other materials

A trench's gross excavated volume is not necessarily the volume of fill dirt to order. Pipes, conduits, concrete structures, drainage stone or bedding occupy part of the trench. The net backfill volume is the measured void to be refilled after accounting for the installed material and layers.

For example, a straight trench 60 feet long, 2 feet wide and 3 feet deep has a gross box volume of 60 × 2 × 3 ÷ 27 = 13.33 cubic yards. If a specified bedding layer occupies part of that space, estimate its volume separately and subtract it from the gross void before calculating soil backfill. This example is only a quantity calculation and does not establish safe trench dimensions, support systems or excavation procedures.

Swell, shrinkage and compaction factors

Swell occurs when a mass of excavated soil occupies more bulk volume after disturbance. Shrinkage describes a reduction in volume associated with placement, compaction or earthwork balance. Moisture, gradation, organic content and existing density influence these effects. No single factor applies to every sandy, clayey or rocky soil.

For a strictly illustrative calculation, if project data say 1 compacted cubic yard requires 1.15 loose cubic yards, a 10-CCY finished fill would require 11.5 LCY. This 1.15 ratio is an example supplied for arithmetic; it is not a default material factor and must not be applied without project-specific information.

Compaction specifications may reference tests, moisture-density relationships or a target dry density. For load-bearing fill, the appropriate material, lift thickness, compaction method and verification belong to the project's engineering requirements.

Choosing fill material: clean fill versus topsoil

Fill dirt is primarily used to build or restore grade, backfill voids or form a suitable subgrade. Topsoil is selected for its value as a growing medium. A soil product suited to planting is not automatically appropriate for structural compaction, and material selected as structural fill may be poor as a surface planting layer.

Ask the supplier about particle size, organic material, debris, contamination concerns and suitability for your project. Imported fill may require testing or approval under project documents or local rules. If the goal is a healthy lawn or garden surface, calculate that separate upper layer using the topsoil cubic yard calculator.

Dump truck quantities, costs and delivery planning

Earthwork deliveries are often constrained by both hauling capacity and legal payload weight. A bed that has room for several loose cubic yards may reach its weight limit first. Ask the contractor or supplier how loads are measured and whether invoices use loose cubic yards, bank yards, short tons or truck trips.

For preliminary budgeting, calculate the intended order quantity in the supplier's billing unit and multiply by its quote. Include hauling, disposal of unsuitable excavated material, access, spreading, compaction and testing where applicable. A geometry-only calculator cannot determine disposal classifications, material suitability or total project cost.

When to use a professional earthwork estimate

A simple fill quantity is most useful for small, level, nonstructural areas with known dimensions. Retaining walls, building pads, significant slope changes, utility excavation, flood-prone property and roadway embankments can require survey measurements, drainage design, geotechnical evaluation, permits and inspected compaction.

Before purchasing fill, confirm existing and target elevations, whether the quantity is bank, loose or compacted, which material is specified, the depth and shape of each section, required testing and safe delivery access. For a basic flat-area calculation, the homepage cubic yard calculator provides the underlying geometric volume formula.

Frequently Asked Questions

How much fill dirt do I need to raise a 20 × 15 area by 6 inches?

The geometric fill is 20 × 15 × 6 ÷ 324 = about 5.56 cubic yards. The loose quantity to order may differ according to soil density, compaction and placement conditions.

What is the difference between bank and loose cubic yards?

Bank yards measure undisturbed in-place earth; loose yards measure material after it has been excavated. Soil often occupies a different volume when disturbed, so the two quantities should not be treated as identical.

What does CCY mean in earthwork?

CCY means compacted cubic yards: the finished volume after material has been placed and compacted to a defined condition. It is not automatically equal to loose cubic yards on a delivery truck.

How do I estimate fill dirt for a sloping yard?

Measure the existing and proposed grades. A simple linear taper can be estimated from average depth, but irregular terrain needs multiple sections, spot levels or professional survey-based measurements.

Can I use excavated dirt as backfill?

Possibly, if the material is suitable and permitted by the project specifications. Debris, organic matter, excessive moisture or unfavorable soil characteristics may make some excavated material unsuitable.

How many cubic yards fit in a dump truck?

There is no universal capacity. The truck's bed volume and its allowable payload weight both matter, especially for wet or dense soil. Check the actual vehicle and billing method with the hauler.

Should I add 20% for fill compaction?

Do not apply a universal 20% factor. Required loose-to-compacted adjustments depend on soil properties, original state, compaction specifications and field conditions.

Can a fill dirt calculator design a building pad or retaining wall?

No. It computes a preliminary volume. Structural earthwork may need engineered fill, geotechnical testing, appropriate compaction, grading plans and drainage design.

Need another calculation?

Use the main cubic yard calculator, or explore our guides and project-planning resources.