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MINING & RESOURCE CALCULATIONS

Tonnage Calculator

Estimate rock or ore tonnage from material volume and bulk density using common metric and imperial units.

Calculate Tonnage

Enter the estimated material volume and bulk density to calculate the corresponding tonnage.

VOLUME × BULK DENSITY

Tonnage Calculation

Estimate material mass from volume and bulk density.

Use a representative bulk density for the material being estimated.

ESTIMATED TONNAGE 2,500,000 metric tonnes 2,755,778.28 short tons

Tonnage 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.

Basic Tonnage Calculation

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.

Metric Density Units

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.

Imperial Volume

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.

Imperial Bulk Density

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.

Understanding Tonnage Estimates

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.

Geological Volume

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

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 Variability

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.

Data Quality

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.

Using Tonnage Estimates in Geology

Volume and density calculations are widely used to translate geological geometry into an estimated quantity of material.

Exploration Estimates

Approximate geological dimensions and representative density values can be used to understand the potential scale of a mineralized body during exploration.

Rock & Material Volumes

The same relationship can be used for other geological materials when an appropriate volume and representative bulk density are available.

Scenario Comparison

Changing volume or density assumptions can help illustrate how different geological interpretations affect the estimated quantity of material.

Resource Estimation

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.