Surface Area of a Triangular Prism
Surface Area of a Triangular Prism
\[SA = P L + 2 A_{base}\]
Variables
SA = surface area of triangular prism (m^2)
P = perimeter of triangular base (m)
L = length of prism (m)
A_base = area of triangular base (m^2)
a = side 1 of triangle (m)
b = side 2 of triangle (m)
c = side 3 of triangle (m)
Description
What is this formula?
This formula calculates the total surface area of a triangular prism by combining the lateral area and the two triangular bases.
When to use it
It is used when all faces of a triangular prism must be measured, including both triangular ends and rectangular side faces.
Example
If:
P = 12 m, L = 10 m, A_base = 6 m²
SA = 12*10 + 2*6
SA = 120 + 12 = 132 m²
Applications
- Engineering design
- Construction materials estimation
- Packaging and manufacturing
- Structural analysis
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