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Geometry

Triangular Prism Volume Calculator

Find volume from a triangle base, triangle height and prism length.

Use consistent dimensionsArea and volume units explained below
Geometry desk
Geometry desk

Match each dimension to the shape and keep units consistent.

See the method

Set the dimensions

Runs on your device

Your measurement

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter the triangle base and its perpendicular height in metres. The height is not usually the sloping side.
  2. Enter the distance between the two triangular faces as the prism length.
  3. Calculate to obtain cubic metres. Convert every dimension to metres first if your measurements use another unit.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
Triangle baseNumeric value. Unit: m. Must be greater than zero.4
HeightNumeric value. Unit: m. Must be greater than zero.5
LengthNumeric value. Unit: m. Must be greater than zero.6

Result for these sample inputs

60 m³
Triangular cross-section (m²)
10
Prism length (m)
6
Volume (litres)
60000

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Volume = triangle base × triangle height × prism length/2.

A WORKED EXAMPLE

A triangular face with base 4 m and perpendicular height 5 m has area 4 × 5 / 2 = 10 m². Extending that same cross-section for 6 m gives volume 10 × 6 = 60 m³.

Understanding your result

First find the triangular face area, then multiply by the distance between the triangular faces. Litres are supplied as a volume conversion: 1 cubic metre equals 1,000 litres.

What to keep in mind

Use the indicated units consistently. Ideal shapes are assumed; dimensions must describe the same object. Display rounding does not increase measurement precision.

Common questions

Can I use the length of the sloping side as the triangle height?

Only if that side is perpendicular to the selected base. Otherwise determine the perpendicular height before entering it.

How do I convert cubic metres to litres?

Multiply by 1,000. The 60 m³ worked example equals 60,000 litres. This describes geometric volume, not the usable capacity of a container with wall thickness.

Methodology maintained by ClarityKit. How these tools are built and checked.