Thread: Using Mathematica To Find Volume

Referring to the diagram below (click to enlarge), I know the lengths of the green lines. How would I find the side length of the cube (in blue)? Thanks in advance!

That's a nice plot. Seems though it's a problem in Trigonometry first. I assume you'll get 4 equations in 4 unknowns (but not sure) for the 4 central angles of the 4 triangles. Maybe you should post this problem in the Trigonometry forum.

You get the equations and I'll show you how to solve them in Mathematica.