\[V = A_{base}L\]
Variables
Vvolume of triangular prism (m^3)
bbase of triangle (m)
hheight of triangle (m)
Llength of prism (m)
A_basearea 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