[tex] \text{Prisma triunghiulara regulata are toate muchiile egale} \\ \text{se numeste \underline{tetraedru regulat}.}\\ \\ Notatii: \\ a = 4\;cm = muchia \;tetraedrului. \\ V=volumul \;tetraedrului. \\ \\ Rezolvare: \\ \\ V= \frac{a^3\cdot \sqrt{2} }{12}= \frac{4^3\cdot \sqrt{2} }{12}= \frac{64\sqrt{2} }{12}=\boxed{\frac{16\sqrt{2} }{3}\;cm^3}[/tex]
