Geological resource block arithmetic calculator

Calculate undiluted ore mass and contained material with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use undiluted ore mass and contained material to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Block volume (m³)
1000
Density (tonnes/m³)
2.7
Grade (%)
1
Added zero-grade dilution relative to ore mass (%)
10
Undiluted ore mass (tonnes)
2700
Contained material (tonnes)
27
Diluted total mass (tonnes)
2,970
Diluted grade (%)
0.909091

Try another scenario

Block volume (m³)
1100
Density (tonnes/m³)
2.7
Grade (%)
1
Added zero-grade dilution relative to ore mass (%)
10
Undiluted ore mass (tonnes)
2970
Contained material (tonnes)
29.7
Diluted total mass (tonnes)
3,267
Diluted grade (%)
0.909091
Calculation method

Calculation method

Undiluted ore mass (tonnes)

Volume×density.

Contained material (tonnes)

Ore mass×grade/100.

Diluted total mass (tonnes)

Ore mass×(1+dilution/100).

Diluted grade (%)

Original grade/(1+dilution/100), zero-grade dilution assumption.

Symbols and units
a
Block volume (m³)
b
Density (tonnes/m³)
c
Grade (%)
d
Added zero-grade dilution relative to ore mass (%)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Block volumes, supplied density-grade, dilution assumptions. Returns Illustrative tonnage and contained material. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Block volume (m³): minimum 1e-12, maximum 1000000000000.0. Density (tonnes/m³): minimum 1e-12, maximum 1000000000000.0. Grade (%): minimum 0, maximum 100. Added zero-grade dilution relative to ore mass (%): minimum 0, maximum 1000.
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