Volume of a Regular Tetrahedron
Volume of a Regular Tetrahedron
\[V = \frac{a^3}{6\sqrt{2}}\]
Variables
V = volume (m³)
a = edge length of the tetrahedron (m)
Description
What is this formula?
This formula calculates the volume of a regular tetrahedron using the length of one edge. A regular tetrahedron is a three-dimensional solid composed of four equilateral triangular faces.
When to use it
Use this formula when determining the volume of symmetric tetrahedral structures or geometric models.
Example
If a regular tetrahedron has an edge length of 6 m:
V = 6^3 / (6√2)
V = 216 / (6√2)
V ≈ 25.46 m³
Applications
- Geometry and mathematics
- Engineering and structural analysis
- 3D modeling
- Architecture and design
- Scientific and educational calculations
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