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 d₁
• Body Diagonal d₂
• 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