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Earthwork Cut and Fill Volume Calculator (Average End Area)

The Average End Area method is the civil engineering industry standard for calculating cut and fill earthwork excavation quantities along highway alignments, rail corridors, and building pads.

Length of alignment span between the two surveyed cross-sections.

Select metric or US customary units.

Excavation cross-sectional area at first station.

Excavation cross-sectional area at second station.

Embankment fill area at first station.

Embankment fill area at second station.

Volume loss percentage when loose excavated soil is mechanically rolled into dense fill.

Calculated Result
1,300 m³

Net Spoil (Excess Cut)

Gross Excavation (Cut)

3,000 m³

Gross Embankment (Fill)

1,250 m³

Effective Cut After Shrinkage

2,550 m³

Earthwork Balance Status

Excess Cut (Waste/Spoil to haul away)

Net Material Balance

1,300 m³

Calculation Breakdown

  1. Average End Area MethodCut Volume = (100 / 2) × (25 + 35) = 3000 m³
  2. Fill Volume CalculationFill Volume = (100 / 2) × (10 + 15) = 1250 m³
  3. Soil Compaction AdjustmentEffective Cut Volume with 15% shrinkage: 3000 × (1 - 0.15) = 2550 m³
  4. Mass Haul Net DifferenceBalance = 2550 - 1250 → 1300 m³ (excess-cut)

Earthwork Volumetric Balance

Interactive visualization based on your current inputs

Volume
0.07501.5k2.3k3.0kGross CutGross FillEffective FillNet Spoil SurplusVolume TypeVolume (m³)

What Is the Earthwork Cut and Fill Volume Calculator (Average End Area)?

The Average End Area method computes the volume of earth prismatically bounded by two parallel cross-sectional station slices.

How Does the Earthwork Cut and Fill Volume Calculator (Average End Area) Work?

Volume equals average cross-sectional area multiplied by distance: V = (L/2)·(A1 + A2). Net balance adjusts cut by (1 - shrinkage) before subtracting fill.

Earthwork Cut and Fill Volume Calculator (Average End Area) Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

V = \frac{L}{2} \cdot (A_1 + A_2), \quad V_{\text{eff,cut}} = V_{\text{cut}} \cdot (1 - S_{\text{shrink}}), \quad \text{Net} = V_{\text{eff,cut}} - V_{\text{fill}}

Average End Area computes excavation and embankment volumes between survey cross-sections. Effective cut accounts for compaction shrinkage.

How to Use the Earthwork Cut and Fill Volume Calculator (Average End Area)

  1. Enter distance between survey stations.
  2. Input cut and fill areas for Station 1 and Station 2.
  3. Specify soil compaction shrinkage percentage.

Step-by-Step Example Calculation

100m Road Corridor with 15% Compaction Shrinkage

Input Values:

stationDistance:100
unitSystem:metric
cutArea1:25.0
cutArea2:35.0
fillArea1:10.0
fillArea2:15.0
soilShrinkagePercent:15.0
Worked Steps: Generates 3,000 m³ gross cut and 1,250 m³ gross fill. After 15% shrinkage, effective fill is 2,550 m³, leaving 1,300 m³ excess spoil.

Understanding Your Result

Gross Cut: Total excavation volume to be dug out.

Gross Fill: Required compacted embankment volume.

Mass Balance: Net excess spoil (haul away) or borrow deficit (import from quarry).

Factors That Affect the Result

  • Topography irregularities, soil type, moisture content, and heavy compaction equipment specs.

When Should You Use This Calculator?

  • Highway grading, railway embankment construction, canal excavation, and subdivision site civil design.

Assumptions & Limitations

  • Prismatic terrain transition between stations; for abrupt pyramid-like terrain changes, prismoidal formula adjustments are required.

Frequently Asked Questions

Calculation Accuracy & Reference Note

AASHTO standard average end area earthwork method.

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