Triangular Prism Volume Calculator

Triangular Prism: how to find the surface area and volume when one side length is given, and how to find the surface area and side length when the volume is given.

Triangular Prism Calculation Method

Triangular Prism: calculate the volume and surface area from the side length.

Formula for the volume

Triangular Prismformula for the area

The side length (a) of Triangular Prism is 0 .

The volume (V) of Triangular Prism is 0 .

The area (S) of Triangular Prism is 0 .

The height (h) of Triangular Prism is 0 .

About This Calculator

A triangular prism has two identical triangular ends joined by three rectangular faces. Its volume is the area of the triangular cross-section multiplied by the length of the prism.

Enter the side length of the equilateral triangular base and the prism length to calculate the volume and surface area.

A triangular prism multiplies its triangular base area by the height, so a right triangle with legs 3 and 4 has a base of 6 and, at height 10, a volume of 60. The surface area adds the two triangular ends to three rectangles of 30, 40 and 50, giving 132 in total.

Key Formula:V = (√3 / 4)a² × h

Frequently Asked Questions

How do I find the volume of any prism?

Multiply the area of the cross-section by the distance between the two ends: V = area × length. This works for triangular, square, hexagonal and even irregular prisms.

Where do triangular prisms appear in daily life?

Classic examples are a Toblerone bar, a tent with a pitched roof and a glass prism used to split white light into a spectrum.

Does the triangle have to be right-angled?

No. The base area is always one half of base times perpendicular height, whatever the triangle looks like. Only the side lengths change, and those affect the lateral faces but not the volume.

What is the difference between a prism and a pyramid?

A prism has two parallel congruent bases joined by parallelograms, giving base × height. A pyramid has one base and an apex, giving one third of that volume for the same base and height.

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Sources & last update

2026-10-19