VolLab

Triangular Prism Volume Calculator

Cross-section area, extruded along the prism's length.

Volume is just cross-section × length

Any prism's volume is its constant cross-sectional area multiplied by how far that cross-section is extruded — for a triangular prism, that means ½ × base × height × length.

Classic optics example

The triangular glass prism that splits white light into a rainbow is exactly this shape — its volume follows the same formula as any other triangular prism.

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VolLab

Triangular Prism Volume Calculator

Cross-section area, extruded along the prism's length.

Triangle base

Triangle height

Prism length

Volume

120

Triangle cross-section area: 12
Surface area (isosceles cross-section): 184

What you entered

Base: 6Triangle height: 4Prism length: 10

1
Triangular cross-section area
0.5 × 6 × 4= 12
2
Volume = cross-section area × length
12 × 10= 120
3
Surface area (assumes isosceles cross-section)
2 × 12 + 10 × (b + 2×slant)= 184

Result

Volume: 120

A triangular prism with a 6 × 4 triangular cross-section, extruded 10 deep, has a volume of 120.

Volume is just cross-section × length

Any prism's volume is its constant cross-sectional area multiplied by how far that cross-section is extruded — for a triangular prism, that means ½ × base × height × length.

Classic optics example

The triangular glass prism that splits white light into a rainbow is exactly this shape — its volume follows the same formula as any other triangular prism.