The surface of a Dodecahedron consists of twelve regular pentagons and is therefore one of the five Platonic solids.
The following elements of a Dodecahedron are calculated if one of them is given:
Given: ¯¯¯¯¯¯ Circumradius rc = 1 Results: ¯¯¯¯¯¯¯ Edge a = 0,71364418 Face Diagonal d = 1,1547005 Face Altitude h = 1,0981855 Inradius ri = 0,79465447 Volume V = 2,7851639 Surface S = 10,514622
Given: ¯¯¯¯¯¯ Face Diagonal d = 2 Results: ¯¯¯¯¯¯¯ Edge a = 1,236068 Face Altitude h = 1,902113 Circumradius rc = 1,7320508 Inradius ri = 1,3763819 Volume V = 14,472136 Surface S = 31,543867