I need a ratio of a cube edge length compared to the length of a line drawn from any corner to an opposite corner.
+37146 If you are going to a truly opposite corner THROUGH the volume of a cube of side length 'x' the distance will be
(sqrt(x^2 + x^2 + x^2) )
= sqrt (3x^2)
Then the ratio of an edge 'x' to this distance would be x/(sqrt(3x^2)) = x/xsqrt3= 1/sqrt3 = sqrt3/3
+129852 If we're drawing a diagonal on any face of the cube.......the length of this diagonal compared to the edge length [ call it, e] is √2* e
If we're drawing a diagonal from one vertex to another vertex, such that this diagonal passes through the center of the cube, the length of this diagonal compared to the edge length is √3 * e
