Embankment Volume Calculator

Calculator Inputs

Use a single cross-section for uniform embankments, or add station-based segments when geometry changes. Results include allowances and export-ready reports.

Mode

Pick segments for varying heights, slopes, or lengths.

Units

Outputs are always shown in cubic meters and yards.

Density (t/m³)

Optional: estimate compacted mass in tonnes.

Waste / overbuild (%)

Adds contingency for trimming, spillage, and shaping.

Swell (%)

Loose volume increase during excavation/handling.

Shrink / compaction (%)

Loose-to-compacted reduction after compaction.

Single Section Geometry

Trapezoidal prism

Length

Total embankment run along the centerline.

Height

Vertical depth from base to crest.

Top width (crest)

Set to 0 for a point-top embankment.

Geometry method

Use slopes when base width is unknown.

Left slope (H:1V)

Horizontal per 1 vertical (e.g., 2 means 2:1).

Right slope (H:1V)

Use different slopes for asymmetric sections.

Preview base width

Calculated from crest, height, and slopes.

Station-Based Segments

Row-by-row geometry

Length	Height	Crest	Left slope	Right slope

Each row represents a segment where the cross-section is constant along its length.

Reset

Example Data Table

This sample shows three station-based segments with varying heights. Use it as a quick reference for typical roadway embankments.

Segment	Length	Height	Crest	Left slope	Right slope	Notes
1	40 m	2.5 m	6.0 m	2H:1V	2H:1V	Approach fill
2	55 m	3.2 m	6.0 m	2H:1V	2H:1V	Peak section
3	35 m	2.0 m	6.0 m	2H:1V	3H:1V	Asymmetric tie-in

Formula Used

1) Base width from slopes (when slopes are provided):

B = T + H × (S_L + S_R)

Where T is crest width, H is height, and S values are horizontal-to-vertical ratios (H:1V).

2) Trapezoid area:

A = (T + B) ÷ 2 × H

3) Volume (prism):

V_compacted = A × L

4) Allowances and conversion to borrow (loose) volume:

V_waste = V_compacted × (1 + Waste%)

V_borrow = V_waste × (1 + Swell%) ÷ (1 − Shrink%)

These factors vary by material type, moisture, and field compaction method.

How to Use This Calculator

Choose Single section for uniform geometry, or Station-based segments for variable geometry.
Select units, then enter length, height, and crest width. Use side slopes if base width is unknown.
Add waste, swell, and shrink factors to estimate borrow requirements realistically.
Click Calculate. The result appears above the form instantly.
Use the export buttons to download CSV and PDF reports.