Tonnage Calculation
Estimate material mass from volume and bulk density.
Use a representative bulk density for the material being estimated.
MINING & RESOURCE CALCULATIONS
Estimate rock or ore tonnage from material volume and bulk density using common metric and imperial units.
VOLUME & TONNAGE
Enter the estimated material volume and bulk density to calculate the corresponding tonnage.
Estimate material mass from volume and bulk density.
Use a representative bulk density for the material being estimated.
FORMULA
Tonnage is estimated by multiplying the volume of material by its bulk density. The volume and density units must be compatible before the calculation is performed.
When volume is expressed in cubic metres and bulk density in tonnes per cubic metre, the calculation directly produces metric tonnes.
Tonnage = Volume × Bulk Density
For example, 1,000,000 m³ of material with a bulk density of 2.5 t/m³ has an estimated tonnage of 2,500,000 metric tonnes.
Grams per cubic centimetre and tonnes per cubic metre are numerically equivalent density units.
1 g/cm³ = 1 t/m³
A bulk density of 2.7 g/cm³ can therefore be entered as 2.7 t/m³ without changing the numerical value.
Volumes reported in cubic feet or cubic yards must be converted before they can be combined with metric density units.
1 ft³ = 0.028316846592 m³
One cubic yard is equal to 27 cubic feet, or approximately 0.764555 cubic metres.
Bulk density expressed in pounds per cubic foot is converted to tonnes per cubic metre before the tonnage calculation is performed.
1 lb/ft³ ≈ 0.0160185 t/m³
This allows imperial volume and density measurements to be compared consistently with metric tonnage estimates.
INTERPRETATION
The arithmetic behind a tonnage calculation is simple, but the reliability of the result depends on how well the volume and bulk density represent the geological material being estimated.
The estimated volume depends on the interpreted geometry of the geological body. Changes in boundaries, thickness, continuity, or shape can significantly change the resulting tonnage.
Bulk density describes the mass of a bulk volume of material. A representative value should reflect the rock, ore, or other material being estimated rather than simply the density of an individual mineral.
Density can vary between lithologies, alteration zones, mineralization styles, weathering profiles, and degrees of porosity. A single density value may not adequately represent a geologically variable body.
Measured density data generally provide stronger support for a tonnage estimate than an assumed value. The appropriate number and distribution of measurements depend on the variability and scale of the material being evaluated.
APPLICATION
Volume and density calculations are widely used to translate geological geometry into an estimated quantity of material.
Approximate geological dimensions and representative density values can be used to understand the potential scale of a mineralized body during exploration.
The same relationship can be used for other geological materials when an appropriate volume and representative bulk density are available.
Changing volume or density assumptions can help illustrate how different geological interpretations affect the estimated quantity of material.
A simple volume × bulk-density calculation does not by itself constitute a mineral resource or mineral reserve estimate. Formal estimates require geological interpretation, sampling, estimation methodology, classification, and appropriate technical and economic considerations.