Triangular Prism Calculator

A triangular prism is a 3D geometric solid with two identical triangular bases connected by three rectangular faces. It has 5 faces, 9 edges, and 6 vertices. The length of the prism is the distance between the two triangular ends.

The volume of a triangular prism is calculated as V = base area × prism length. The base area of the triangle is found using Heron's formula: A = √(s(s−a)(s−b)(s−c)), where s is the semi-perimeter (a+b+c)/2. Multiply the base area by the prism length to get the volume.

The total surface area is the sum of both triangular bases and all three rectangular faces: A = 2 × base_area + lateral_surface_area. The lateral surface area equals the perimeter of the triangle multiplied by the prism length: (a + b + c) × h.

A triangular prism has 5 faces: 2 triangular faces (the top and bottom bases) and 3 rectangular faces that connect them along the length of the prism.

A triangular prism has 9 edges: 3 edges on each triangular base (6 total) and 3 edges running along the length of the prism connecting the two triangular faces.

A triangular prism has 6 vertices — 3 on each triangular face. This follows Euler's polyhedron formula: V − E + F = 2, which gives 6 − 9 + 5 = 2.

Yes. For the three sides a, b, and c to form a valid triangle, each side must be less than the sum of the other two (triangle inequality: a + b > c, b + c > a, a + c > b). The calculator will not produce valid results if this condition is not met.

Triangular prism calculations are used in architecture (roofing, ramps), civil engineering (retaining walls, embankments), packaging design, and physics (prism optics). Knowing the volume helps estimate material quantities, weights, and capacities.