Question

An edge of a regular tetrahedron is $6\sqrt{6}$ cm. Find the vertical height of the tetrahedron (in cm)

• A. $6\sqrt{3}$
• B. $6\sqrt{2}$
• C. $12$
• D. $24$

Answer 1

The correct option is C $12$

Given, edge of a regular tetrahedron $6\sqrt{6}$ cm.

Height of a tetrahedron $=\frac{1}{3}\sqrt{6}\times$ side $=\frac{1}{3}\sqrt{6}\times 6\sqrt{6}=12$ cm