## The Hexahedron

The Hexahedron is a cube. Its surface consists of six squares and is therefore one of the five
*Platonic solids*.

The following elements of a Hexahedron are calculated if one of them is given:

- Edge a
- Face Diagonal d
_{1}
- Body Diagonal d
_{2}
- Circumradius r
_{u}
- Inradius r
_{i}
- Volume V
- Surface O

### Example:

Given:
¯¯¯¯¯¯
Circumradius rc = 1
Results:
¯¯¯¯¯¯¯
Edge a = 1,1547005
Face Diagonal d1 = 1,6329932
Body Diagonal d2 = 2
Inradius ri = 0,57735027
Volume V = 1,5396007
Surface S = 8