Earthwork prismoidal volume calculator

Calculate prismoidal volume and average-end-area comparison with your own figures.

Your numbers

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

Use prismoidal volume and average-end-area comparison to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Start area (m²)
10
Midpoint area (m²)
18
End area (m²)
30
Section interval (m)
20
Prismoidal volume (m³)
373.333333
Average-end-area comparison (m³)
400

Try another scenario

Start area (m²)
11
Midpoint area (m²)
18
End area (m²)
30
Section interval (m)
20
Prismoidal volume (m³)
376.666667
Average-end-area comparison (m³)
410
Calculation method

Calculation method

Prismoidal volume (m³)

V=L(A0+4Am+A1)/6.

Average-end-area comparison (m³)

V=L(A0+4Am+A1)/6.

Symbols and units
a
Start area (m²)
b
Midpoint area (m²)
c
End area (m²)
d
Section interval (m)

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

  • Calculation uses the entered values and stated mathematical model; quantities must use the labelled units. 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. V=L(A0+4Am+A1)/6.
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.

Share this page
Share this calculator

Leave unchecked to share the page without your entered values.