Surface Area of a Regular Tetrahedron
Surface Area of a Regular Tetrahedron
\[A = \sqrt{3}a^2\]
Variables
A = surface area (m²)
a = edge length of the tetrahedron (m)
Description
What is this formula?
This formula calculates the total surface area of a regular tetrahedron. A regular tetrahedron has four identical equilateral triangular faces.
When to use it
Use this formula when calculating the external surface area of symmetric tetrahedral structures.
Example
If a tetrahedron has an edge length of 4 m:
A = √3 × 4²
A = 16√3
A ≈ 27.71 m²
Applications
- Geometry and mathematics
- 3D modeling and graphics
- Engineering and structural design
- Architecture
- Educational visualization
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