find the volume V of a regular tetrahedron whose face is an

find the volume V of a regular tetrahedron whose face is an equilateral triangle of side s. The answer can be found if you look up Calculus Early Transcendentals by Jon Rogawski in Ch 6.2 Exercise 17 I need toknow the steps of how to get the height of this shape which is (2/3)^(1/2)*s

Solution

volume = 1/3 Ah= 1/3 * (sqrt(3)/4 )s^2 * (rad 2/3)s = 1/3 * sqrt(2)/4 *s^3 =sqrt(2) * s^3 /12