Evaluation of Volume of tetrahedron given the side

A regular tetrahedron is composed of four equilateral triangles. The formula for the volume of a regular tetrahedron is

\[V=\frac{a^{3}}{6\sqrt{2}} \]

where a is the side of tetrahedron V is the volume of regular tetrahedron.

Boundary conditions-  side length a must be positive and hence the volume V

Results 1 -  For a = 5   V=14.7313

                 For a=17  V= 579.0026

Finding out side length given the volume of tetrahedron

\[a= \sqrt[3]{(6\sqrt{2})V} \]

For V=200 we get a= 11.92794

For V=11945 we get a=46.62485

Boundary condition - Both a and V must be positive

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