Stockpile shapes and formulas
A conical pile uses its base radius and vertical height. A truncated cone adds a measured top diameter. A rectangular pile uses length × width × average height; it should not use the maximum height throughout. A triangular windrow assumes a triangular cross-section.
frustum = π × height × (R² + Rr + r²) ÷ 3
rectangular = length × width × average height
windrow = length × base width × height ÷ 2
Worked conical stockpile example
A conical aggregate stockpile with a 10.0 m base diameter and a 3.0 m vertical height has a 5.0 m radius. Its geometric volume is π × 5² × 3 ÷ 3 = 78.54 m³. With no volume adjustment and an assumed loose bulk density of 1,600 kg/m³, the estimated weight is 125.66 metric tonnes, equivalent to 7 whole 20-tonne vehicle loads. Confirm the pile shape, density, moisture and vehicle payload before relying on the estimate.
How to measure more reliably
- Measure two or more base diameters where a pile is not circular.
- Use several height observations for rectangular or flattened piles.
- Keep obstructions, retaining walls and inaccessible toes in the field notes.
- Use a negative or positive adjustment only when supported by a survey comparison or a documented site method.
From volume to weight
The chosen volume is multiplied by bulk density. Loose aggregate, compacted aggregate and saturated aggregate can have materially different densities. The default presets are starting points, not certificates. The result card, print view and CSV stay entirely in the selected measurement system.
Metric mode accepts dimensions in metres and density in kilograms per cubic metre, then reports cubic metres, kilograms, metric tonnes and loads using a tonne payload.
US customary mode accepts dimensions in feet and density in pounds per cubic foot, then reports cubic feet, cubic yards, pounds, short tons and loads using a short-ton payload.
Frequently asked questions
Which shape should I use for an irregular stockpile?
Choose the closest simple geometry, measure several representative dimensions and document any adjustment. For valuable or contractual inventory, use a competent survey method.
How is stockpile weight calculated?
Adjusted volume is multiplied by the entered bulk density. Confirm density and moisture before relying on the mass result.
Does the stockpile result mix measurement systems?
No. Choose Metric or US customary and the inputs, result card, printed report and CSV export stay in that system. Use the dedicated unit converter when you intentionally need a cross-system conversion.