Interactive Measurement Preview
Visual checkThe chart updates from section, contour, grid, or polygon data.
Formula Used
Conical Stockpile
V = πr²h ÷ 3Use one base radius and vertical height.
Truncated Cone
V = πh(R² + Rr + r²) ÷ 3Use base radius, top radius, and height.
Rectangular Pyramid
V = LWh ÷ 3Use rectangular base dimensions and height.
Average-End-Area
V = Σ[(A₁ + A₂) ÷ 2]LApply between consecutive measured sections.
Prismoidal Method
V = L(A₁ + 4Aₘ + A₂) ÷ 6Use two end areas and one middle area.
Mass Conversion
Mass = Volume × Bulk DensityUse field-specific density whenever possible.
How to Use This Calculator
- Select the available measurement method.
- Choose matching length and area units.
- Enter dimensions or paste survey data.
- Select material density or enter another value.
- Add swell, shrinkage, waste, or settlement corrections.
- Enter truck, loader, and costing information.
- Press the calculation button once.
- Review warnings before using final quantities.
- Save, print, copy, or export results.
Example Data Table
| Application | Method | Typical inputs | Important check |
|---|---|---|---|
| Small gravel cone | Geometric cone | Diameter and height | Measure true vertical height |
| Long road windrow | Trapezoidal prism | Length, base width, crest width, height | Check changing widths |
| Irregular quarry pile | Survey grid | Coordinates, surface elevations, base elevations | Use consistent grid spacing |
| Monthly inventory survey | Contour or point survey | Elevations, areas, or points | Reuse the same base surface |
| Earthworks balance | Cut and fill | Existing and design elevations | Separate cut and fill totals |
Stockpile Measurement Guide
Choose a realistic pile model
Stockpile estimates improve when the selected shape matches reality. A clean cone suits centrally discharged material. A frustum suits flattened crests. Long roadside piles usually resemble windrows. Rectangular pyramids suit piles constrained by walls. Irregular piles need sections, grids, contours, or surveyed points.
Measure the base carefully
The base controls many volume calculations. Mark the true material boundary before measuring. Avoid including nearby berms, ramps, or spilled material. Use a tape, wheel, total station, or GNSS receiver. Repeat difficult measurements from another direction.
Use vertical height
Stockpile formulas require vertical height. A sloping tape measurement is not vertical height. Measure elevations whenever terrain slopes. Subtract the base elevation from the crest elevation. Average several crest readings on uneven piles.
Account for the ground surface
A flat base assumption can create large errors. Existing terrain may rise beneath the pile. Surveying both surfaces gives stronger results. Grid and cut-fill methods can use point-specific base elevations. Keep the same reference surface during inventory comparisons.
Use suitable section spacing
Closer sections capture rapid shape changes. Wider spacing works on smooth, uniform piles. Add sections near crests, ends, and sudden width changes. Prismoidal calculations benefit from meaningful middle sections. Poor spacing cannot represent sharp local features.
Check bulk density
Published densities are only starting values. Moisture, grading, compaction, and contamination change density. Sample the actual material when mass matters. Match the density condition with the measured volume condition. Loose volume needs loose bulk density.
Apply adjustments transparently
Swell increases loose handling volume. Shrinkage reduces settled or compacted volume. Waste allowances increase required quantities. Settlement decreases future volume. Show every adjustment separately. Avoid hiding multiple assumptions inside one unexplained factor.
Report uncertainty
No stockpile survey is exact. Uncertainty depends on boundaries, surfaces, spacing, instruments, and pile complexity. A simple shape may need a smaller range. An irregular pile may require a wider range. Record assumptions beside every reported quantity.
Compare surveys consistently
Inventory trends need repeatable methods. Use consistent equipment, control points, base surfaces, units, and density rules. Record material received and removed. Investigate unexplained differences before changing financial records.
Use safe field practices
Never climb unstable stockpiles without authorization. Stay clear of active loaders and trucks. Follow site traffic controls. Maintain safe distances from collapsing faces. Use remote survey methods where conditions remain hazardous.
Careful measurements, clear assumptions, and repeatable methods produce dependable stockpile decisions.
Frequently Asked Questions
Which method works for a simple cone?
Use the geometric cone method with diameter and vertical height.
How do I measure an irregular stockpile?
Use sections, a survey grid, contours, or boundary coordinates.
Why does base elevation matter?
Ground beneath the pile can raise or lower calculated volume.
Can the calculator estimate material weight?
Yes. Enter bulk density and the preferred mass output unit.
What density should I use?
Use a tested field density matching current moisture and compaction.
What does swell percentage mean?
Swell describes volume growth after material becomes loose.
What does shrinkage percentage mean?
Shrinkage describes volume reduction after settlement or compaction.
How are truckloads calculated?
Loose volume is divided by effective truck capacity.
Can I compare two inventory surveys?
Yes. Enter the previous volume and matching unit.
Can I export survey information?
Yes. Use CSV downloads for sections, grids, and results.
Is this suitable for certified surveys?
It supports estimating. Certified quantities require qualified professional review.
Accuracy and Safety Notice
This calculator provides planning estimates from supplied measurements. Results depend on correct boundaries, elevations, dimensions, density, and adjustment factors. Verify critical quantities with qualified surveyors or engineers. Follow site safety procedures during every measurement.