Stockpile volume from sections calculator

Calculate trapezoidal stockpile volume with your own figures.

Your numbers

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

Use trapezoidal stockpile volume to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Section positions (m)
0,5,10,15
Measured section areas (m²)
0,8,10,0
Trapezoidal stockpile volume (m³)
90

Try another scenario

Section positions (m)
1.0,5.0,10.0,15.0
Measured section areas (m²)
0,8,10,0
Trapezoidal stockpile volume (m³)
86
Calculation method

Calculation method

Trapezoidal stockpile volume (m³)

Volume=sum((x next-x)×(area next+area)/2).

Symbols and units
a
Section positions (m)
b
Measured section areas (m²)

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

Calculation steps and notation

sum(list) adds all entries in the list.

Assumptions & limits

Assumptions & limits

  • Linear interpolation between measured sections only. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Linear interpolation between measured sections only.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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