|
|
The pentagonal cupola is Johnson solid 
. Its faces consist of 5 equilateral
triangles, 5 squares, one pentagon,
and one decagon. It is therefore a (non-regular) dodecahedron.
The surface area and volume of the pentagonal cupola with unit edge lengths are
 |  | ![1/4[20+sqrt(10(80+31sqrt(5)+sqrt(2175+950sqrt(5))))]](/images/equations/PentagonalCupola/Inline4.svg) |
(1)
|
 |  |  |
(2)
|
