If the length of each side of a regular tetrahedron is 12 cm, then the volume of the tetrahedron is

Solution (By Examveda Team)

$$\eqalign{ & {\text{Volume of tetrahedron}} = \frac{{{a^3}}}{{6\sqrt 2 }} \cr & = \frac{{{{12}^3}}}{{6\sqrt 2 }} \cr & = \frac{{1728}}{{6\sqrt 2 }} \cr & = 144\sqrt 2 {\text{ c}}{{\text{m}}^3} \cr} $$