Question

Find the volume for the regular pyramid.
https://media.glynlyon.com/g_geo_2012/8/groupi7
7.gif

V =

Answer 1

The formula for finding the volume of the pyramid is V = 1/3 * area of base * height. To find the area of the base in this case, use the equilateral triangle formula: http://www.mathopenref.com/triangleequilateralarea.html
The area of the base will turn out to be 6.93.

Answer 2

Next, to find the height, we use the 30-60-90 triangle theorem. Since all triangles' angles are 60 degrees, we can draw an altitude down like this to make such a triangle: