TryBuildCalc

Pit Backfill Calculator (Structure Deduction, Compaction, Truckloads & Cost)

Calculate backfill volume after structure deduction.

Inputs

Choose the source excavation shape. Trench and rectangular use length × width × depth; pit uses top and bottom dimensions.

ℹ️Use the finished bottom size of the pit.

ℹ️Top dimensions should include side slopes or working space.

ℹ️Use this for repeated trenches, pits, or identical excavation bays.

Structure Deduction

ℹ️Enter footing, wall, pipe envelope, tank, or other built volume inside the excavation.

Select Yes if part of the structure volume is hollow and should not be deducted as solid structure.

Compaction

ℹ️Adds extra loose material to achieve the calculated compacted backfill volume. Typical planning range: 5-15%.

ℹ️Used only to convert volume into an approximate weight in tons — does not affect volume, compaction, or cost.

Enable Cost Estimation?

ℹ️Use the usable volume carried per trip. Typical: 3-10 m³ per trip (about 105-350 cft per trip).

ℹ️Optional buffer for unknowns — supplier density variance, delivery charges, or material substitution. Commonly 5-15%.

Backfill required after structure deduction is 31.649. With compaction allowance, plan for 35.447, requiring 8 truck loads and costing around 10,634.

Calculations

Excavation Volume: 40.649 (~65.04 t)

Structure Deduction: 9.000 (~14.40 t)

Net Backfill: 31.649 (~50.64 t)

Compaction Added: +3.80 (~6.08 t)

Adjusted Backfill: 35.447 (~56.72 t)

Estimates

Truck Loads: 8

Estimated Cost: 10,634

Tip: Metric tons use an approximate Ordinary / Mixed Soil density of 1.60 t/m³ — confirm the actual bulk density with your supplier, since different materials vary significantly.

Approximate results for planning only. Verify with a professional.

Poor compaction and drainage behind a wall are common causes of cracking. Wall Cracks: Causes and Remediation →

Backfill VisualizationExcavationBackfill ZoneStructureOptional voidsExcavation Volume40.649 m³Structure Deduction9.000 m³Adjusted Backfill35.447 m³Diagram simplified for clarity (not to scale)

Looking for the verification checklist, reference tables, or tips and mistakes?See the complete Backfill Calculator.

Sloped pit backfill estimate

This page uses pit excavation geometry — a bottom of 4 m x 3 m widening to a top of 6 m x 5 m over a 2 m depth — so backfill can be estimated for a sloped-side excavation, using the frustum (truncated pyramid) volume formula instead of a simple box. That gives 40.65 m³ of excavated volume, and a 3 m x 2 m x 1.5 m structure (9 m³) deducted from it leaves 31.65 m³ of net void.

A 12% compaction allowance takes the adjusted backfill to 35.45 m³, requiring 8 truck loads at 5 m³ capacity and costing roughly 10,634 at 300 per m³.

  • Bottom 4 m x 3 m, top 6 m x 5 m, depth 2 m → 40.65 m³ excavated (frustum formula).
  • Structure deduction: 3 m x 2 m x 1.5 m (9 m³).
  • Compaction allowance: 12% → 35.45 m³ adjusted backfill, 8 truck loads.

How does backfill quantity calculation work?

The calculation starts with excavation volume, deducts the solid volume occupied by the structure, then adds a compaction allowance to estimate the loose fill material to arrange.

Step 1 — Calculate Excavation Volume

Rectangular or Trench Volume = Length × Width × Depth × Count
Pit Volume = Depth ÷ 3 × (Bottom Area + Top Area + √(Bottom Area × Top Area))
If Overbreak is used: Excavation Volume = above × (1 + Overbreak %)

Use rectangular or trench mode for uniform sides. Use pit mode when top dimensions are larger than bottom dimensions due to side slopes. If the source excavation was actually dug larger than its theoretical size, the Overbreak allowance inflates this volume first, so the backfill void calculated below matches the real hole — not just the design dimensions.

Step 2 — Calculate Structure Deduction

Gross Structure Volume = Structure Length × Structure Width × Structure Height × Structure Count
Structure Volume = Gross Structure Volume − Void Volume

Void volume is deducted only when Include Voids is set to Yes. This is useful for hollow tanks, ducts, pipes, or other structure volumes that should not be treated as solid displacement.

Step 3 — Calculate Net Backfill

Net Backfill = Excavation Volume − Structure Volume

This gives the actual void space to be filled around the completed structure.

Step 4 — Add Compaction Allowance

Adjusted Backfill = Net Backfill × (1 + Compaction Factor ÷ 100)

The adjusted backfill is the loose material volume to order — it is larger than the net void because loose fill needs to be compacted down to fill that void at its final density.

Step 5 — Calculate Truck Loads and Cost

Truck Loads = Adjusted Backfill ÷ Truck Capacity (in m³)
If Truck Capacity is entered in cft: Truck Capacity (m³) = Truck Capacity (cft) ÷ 35.3147
Total Cost = Adjusted Backfill (m³) × Cost per m³

Truck loads are rounded up because fill is normally transported in complete trips. Truck capacity and cost rate can each be entered in m³ or cft — a cft figure is converted to its m³ equivalent first, so the result is identical either way.

Step 6 — Add Contingency (Optional)

Contingency Amount = Base Cost × (Contingency % ÷ 100)
Total Cost = Base Cost + Contingency Amount

Contingency is an optional buffer on top of the base cost to cover unexpected variance — supplier density differences, delivery surcharges, or material substitution. It defaults to 0%; a commonly used range is 5-15%.

Example backfill calculation

This example uses the active calculator inputs above and follows the same steps from the formula section — showing the default scenario if you haven't changed anything, or your own live inputs once you do.

Input Values Used

InputValueWhy it is used
Pit dimensions4 × 3 (m) bottom, 6 × 5 (m) top, 2 m deepSets the frustum excavation volume
Structure deduction3 × 2 × 1.5 (m), × 1Volume occupied by the structure, subtracted from excavation volume
Compaction factor12%Converts net backfill void into loose material to order
Equipment & cost5 /trip, 300 per Sets truck loads and total cost

Step 1 — Calculate Excavation Volume

CalculationSubstitutionResult
Frustum volume2/3 × (bottom + top + √(bottom×top)) × 140.649

Step 2 — Calculate Structure Deduction

CalculationSubstitutionResult
Gross structure volume3 × 2 × 1.5 × 19.000
Structure volumeGross 9.000

Step 3 & 4 — Net Backfill and Compaction

CalculationSubstitutionResult
Net backfill40.6499.00031.649
Adjusted backfill31.649 × (1 + 12/100)35.447

Step 5 & 6 — Truck Loads, Cost & Contingency

CalculationSubstitutionResult
Truck loads35.447 ÷ 5.00 m³8 trucks
Base cost35.447 × rate10,634
Total costBase cost10,634

Therefore, this job needs approximately 35.447 of loose backfill material, requiring 8 truck loads and costing around 10,634.

This page keeps things focused on the calculation above. For the full construction guide — verification checklist, reference tables, usage steps, tips, common mistakes, and limitations.See the complete Backfill Calculator.

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FAQ

A pit with sloped sides is wider at the top than at the bottom, so a simple length x width x depth formula would overstate the volume. This page uses the frustum formula — (depth/3) x (bottom area + top area + √(bottom area x top area)) — which correctly accounts for the tapered shape, giving 40.65 m³ rather than the 60 m³ a flat box calculation would suggest for the same footprint.
The 3 m x 2 m x 1.5 m structure occupies 9 m³, about 22% of the pit's 40.65 m³ excavated volume, leaving 31.65 m³ of net void to backfill.