Formula Octahedron Volume Side length
$$V ~=~ \frac{ \sqrt{2} }{ 3 } \, a^3$$ $$V ~=~ \frac{ \sqrt{2} }{ 3 } \, a^3$$ $$a ~=~ \left( \frac{3}{\sqrt{2}} \, V \right)^{1/3}$$
Volume
$$ V $$ Unit $$ \mathrm{m}^3 $$ The volume of an octahedron enclosed by eight isosceles triangles.
Side length
$$ a $$ Unit $$ \mathrm{m} $$ The length of the side of an isosceles triangle. An octahedron has a total of twelve sides of equal length.