Prism Volume Calculator
Calculate the volume of a triangular prism
Volume
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Prism Volume Calculator Formula
Volume of a triangular prism:
V = (1/2) × b × a × l
b = triangle base, a = triangle height, l = prism length
How to Use This Calculator
- Enter the base of the triangular cross-section.
- Enter the triangle height — the perpendicular height of the triangle (not the prism length).
- Enter the length of the prism (how far it extends in the third dimension).
- Click Calculate Volume to see the result.
Frequently Asked Questions
What is the difference between triangle height and prism length?
The triangle height (a) is the perpendicular height inside the triangular cross-section — from the base to the opposite vertex. The prism length (l) is how far the prism extends in the third dimension, perpendicular to the triangle face.
What if I only know the three sides of the triangle?
Use Heron's formula to find the triangle's area first: A = √(s(s−a)(s−b)(s−c)) where s = (a+b+c)/2. Then V = A × l. Alternatively, use our triangle area calculator to get A, then multiply by l.
What units does this calculator use?
This calculator is unit-agnostic. If all inputs are in centimeters, the result is in cubic centimeters (cm³). Use the same unit for all inputs.
What everyday objects are triangular prisms?
Common examples include tent shapes, Toblerone chocolate boxes, roof ridges, door wedges, and triangular display stands. Any object with a uniform triangular cross-section is a triangular prism.
What is the surface area of a triangular prism?
The surface area is the sum of the two triangular end faces plus the three rectangular side faces: SA = 2 × (triangle area) + (perimeter of triangle) × length.
Can I share my calculation?
Yes. After clicking Calculate, the URL updates with your input values. Copy and share the URL to let anyone else see the same pre-filled form and result.