Volume of a Triangular Prism
Volume of a Triangular Prism
\[V = A_{base}L\]
Variables
V = volume of triangular prism (m^3)
b = base of triangle (m)
h = height of triangle (m)
L = length of prism (m)
A_base = area of triangular base (m^2)
Description
What is this formula?
This formula calculates the volume of a triangular prism by multiplying the area of its triangular base by its length.
When to use it
It is used when the cross-section of a solid is a triangle and extends uniformly along a given length.
Example
If a triangular base has base b = 4 m and height h = 3 m, and the prism length is L = 10 m:
A_base = 0.5 * 4 * 3 = 6 m²
V = 6 * 10 = 60 m³
Applications
- Civil engineering
- Structural design
- Architecture
- Volume estimation of prismatic solids
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