A triangular prism is a 3D shape with two triangle faces and three rectangular sides.
About this calculator
A triangular prism is a 3D shape with two triangle faces and three rectangular sides. Volume = (½ × base × height) × length.
Example: base 6, triangle height 4, length 10 gives triangle area 12 and volume 120 cubic units.
Use this for roof sections, ramp volumes, and Toblerone-style boxes. Link to [[right-triangle]] for the face geometry, [[rectangular-prism]] for a box cross-section, and [[area]] for flat triangle area.
Common uses
- Roof wedge or dormer volume estimates
- Ramp or wedge concrete pour calculations
- Packaging with triangular cross-section
- Solid geometry homework for prisms
Frequently asked questions
What is the volume of a triangular prism with base 6, height 4, length 10?
Triangle area = ½ × 6 × 4 = 12. Volume = 12 × 10 = 120 cubic units.
How is surface area calculated?
Two triangle faces plus three rectangles: SA = 2(½bh) + perimeter of triangle × L. This calculator uses a right-triangle perimeter estimate.
Does the triangle have to be a right triangle?
Enter base and perpendicular height regardless of triangle type. Height must be the altitude to the base.
How is this different from a pyramid?
A prism has parallel, equal cross-sections along the length. A pyramid tapers to a point or smaller face.