Volume of Triangular Prism Calculator

Enter the three sides of the triangular base and the prism height to calculate volume instantly.

Side 1

Side 2

Side 3

Prism Height (Length)

About Volume of Triangular Prism

The Volume of Triangular Prism Calculator uses the three sides of the triangular base (Heron’s formula) and the prism height to compute volume instantly. It’s perfect for students, teachers, and professionals in engineering, construction, architecture, and design.

What is a Triangular Prism?

A triangular prism has two parallel triangular bases connected by three rectangular faces. You’ll see this shape in tents, bridges, roof trusses, and crystal structures. The volume measures the space enclosed by the prism.

Everyday examples:

Camping – Tent structures.

Architecture – Roof trusses & bridges.

Science – Crystal and prism models.

Design – 3D structures & packaging.

Formula for Volume of a Triangular Prism

Using base area × prism height. With base area from Heron’s formula when you know the three sides:

Base Area = √(s(s − a)(s − b)(s − c)), s = (a + b + c)/2
Volume = Base Area × prism height

Where a, b, and c are the triangle sides, and the prism height is the length along the prism.

Example Calculation

Suppose the base triangle has sides a = 6 cm, b = 7 cm, c = 9 cm, and the prism height is 10 cm:

s = (6 + 7 + 9)/2 = 11
Base Area = √(11 × 5 × 4 × 2) = √440 ≈ 20.98
Volume ≈ 20.98 × 10 ≈ 209.8 cm³

Features of the Volume of Triangular Prism Calculator:

Inputs: three sides + prism height

Supports cm³, m³, in³, ft³, etc.

Instant and precise results

Works on mobile, tablet, and desktop

100% free, no registration

Ideal For:

Geometry and math students

Teachers and educators

Engineers and architects

Construction & design professionals

Everyday problem-solving

Calculate triangular prism volumes with ease — fast, accurate, and beginner-friendly.