Triangular Prism Calculator

Volume and surface area. Enter the values you know and the rest are worked out, with the steps shown.

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About the triangular prism calculator

A triangular prism is a triangle extruded along a length l, as in tents and roof sections. Enter the three sides of the triangular end and the length; the end area comes from Heron’s formula, and the volume is that area times the length.

Formulas

VolumeV = B·l
Base area (Heron)B = ¼√((a+b+c)(−a+b+c)(a−b+c)(a+b−c))
Lateral areaL = (a + b + c)·l
Total surfaceS = L + 2B

Frequently asked questions

What is the volume of a triangular prism?

V = (area of the triangular end) × length. For a right-triangle end with legs 3 and 4 and length 8, V = 6 × 8 = 48.