Formula: Tetrahedron Volume Side length
$$V ~=~ \frac{\sqrt{2}}{12} \, a^3$$
$$V ~=~ \frac{\sqrt{2}}{12} \, a^3$$
$$a ~=~ \left( \frac{12V}{\sqrt{2}} \right)^{1/3}$$
Volume
$$ V $$ Unit $$ \mathrm{m}^3 $$
Volume of a tetrahedron. A tetrahedron consists of four triangular planes and has a total of four edges. The prefactor is approximately: \( \frac{\sqrt{2}}{12} \approx 0.118 \). For example, if the side length of a tetrahedron is \( a = 1 \, \text{m}\), then the volume of the tetrahedron is:
$$ V ~=~ 0.118 \, \cdot \, (1 \, \text{m})^3 ~=~ 0.118 \, \text{m}^3 $$
Side length
$$ a $$ Unit $$ \mathrm{m} $$
The length of an edge of a tetrahedron. Since here a tetrahedron is a regular polyhedron, all sides have the same length.