Length of each edge of a regular tetrahedron is 1 cm. It volume is :

Answer: Option D

Length of each edge of a regular tetrahedron = 1 cm
Volume of regular tetrahedron :
$$\begin{array}{rl}& =\frac{a^3}{6\sqrt{2}}\text{ c}{\text{m}}^3\\ & =\frac{1}{6\sqrt{2}}\\ & =\frac{\sqrt{2}}{6\sqrt{2}\times \sqrt{2}}\text{ c}{\text{m}}^3\\ & =\frac{\sqrt{2}}{12}\text{ Or }\frac{1}{12}\sqrt{2}\text{ c}{\text{m}}^3\end{array}$$