Triangular Prism Volume Calculator

Calculate the volume of a triangular prism: V = ½ × b × h × l

Triangular Prism Volume Formula

Volume = (½ × base × height) × length

or equivalently: V = triangle area × length

where: - b = base of the triangular cross-section - h = height of the triangular cross-section - l = length of the prism (distance between the two triangular faces)

How to Calculate Triangular Prism Volume

1. Find the triangle base: Measure the base of the triangular cross-section
2. Find the triangle height: Measure the perpendicular height of the triangle
3. Calculate triangle area: Area = ½ × base × height
4. Measure the prism length: The distance between the two triangular ends
5. Multiply: Volume = triangle area × length

Understanding Triangular Prisms

A triangular prism has two identical triangular faces (bases) connected by three rectangular faces. The volume is simply the area of the triangular cross-section multiplied by the length. This works because every cross-section along the length is the same triangle.

Real-World Applications

Triangular prism calculations are used in: - Architecture: Roof volumes and A-frame structures - Packaging: Toblerone-style packaging and wedge containers - Construction: Estimating concrete for triangular channels - Engineering: Structural beam calculations - Camping: Tent volume calculations

Common Questions

What is the formula for triangular prism volume?

The triangular prism volume formula is V = (½ × base × height) × length, where base and height define the triangular cross-section and length is the distance between the two triangular faces.

What is a triangular prism?

A triangular prism is a 3D shape with two parallel triangular faces and three rectangular faces. It looks like a triangle stretched along a length. Common examples include Toblerone boxes and tent shapes.