Triangular Prism Calculator

What Is a Triangular Prism Calculator?

A triangular prism is a solid with two identical triangular ends connected by three rectangular sides — a common shape for tents, roof trusses, and glass prisms. This calculator finds its volume and total surface area from the triangular cross-section and the prism's length.

How to Use This Triangular Prism Calculator

1. Measure the base and height of the triangular end (used to find its area).
2. Measure the other two sides of the triangle (needed for the surface area).
3. Measure the prism's length — how far the triangle is 'stretched' through the solid.
4. Enter all five values and click Calculate.

Formula

• Triangle Area = ½ × base × height
• Volume = Triangle Area × Length
• Surface Area = 2 × Triangle Area + Perimeter × Length

Worked Example

A tent has a triangular cross-section with base 2 m, height 1.5 m, and equal sides of 1.8 m each, and the tent is 3 m long. Triangle Area = 0.5 × 2 × 1.5 = 1.5 m². Volume = 1.5 × 3 = 4.5 m³. Perimeter = 2 + 1.8 + 1.8 = 5.6 m, so Surface Area = 2(1.5) + 5.6×3 = 3 + 16.8 = 19.8 m².