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Triangular Prism Volume Calculator

Find the base area and volume of a prism whose base is a triangle with three known sides.

Inputs

Results

Triangle base area6cm²
Prism volume60cm³

Chart

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How to use the triangular prism volume calculator

Find the base area and volume of a prism whose base is a triangle with three known sides. Enter triangle side a, triangle side b, triangle side c, prism length in the fields above; the triangle base area, prism volume are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “triangular prism volume”, “Heron formula prism”, “triangle base prism”, “calculate triangular prism volume”, “find triangle base area”.

Formula

Triangle base area (cm²) = √((a+b+c) × (-a+b+c) × (a-b+c) × (a+b-c)) / 4
Prism volume (cm³) = [Triangle base area] × L

Variables

  • a — Triangle side a (cm)
  • b — Triangle side b (cm)
  • c — Triangle side c (cm)
  • L — Prism length (cm)

Worked example

With triangle side a = 3 cm, triangle side b = 4 cm, triangle side c = 5 cm, prism length = 10 cm, the calculator gives triangle base area ≈ 6 cm²; prism volume ≈ 60 cm³.

Frequently asked questions

What is the triangular prism volume calculator used for?

Find the base area and volume of a prism whose base is a triangle with three known sides. It helps with questions such as “triangular prism volume”, “Heron formula prism”, “triangle base prism”.

What is the formula for the triangular prism volume calculation?

Triangle base area (cm²) = √((a+b+c) × (-a+b+c) × (a-b+c) × (a+b-c)) / 4. Prism volume (cm³) = [Triangle base area] × L. Here a is triangle side a (cm), b is triangle side b (cm), c is triangle side c (cm), L is prism length (cm).

What inputs do I need for the triangular prism volume calculator?

You need triangle side a in cm, triangle side b in cm, triangle side c in cm, prism length in cm. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the triangular prism volume calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the triangular prism volume result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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