Answer:
Eulers formula of course is: F+ V - E = 2, (F)aces + (V)ertices - Number of (E)dges = 2. Which he derived from solving the Koningberg Bridge problem.
I dont know if this will be of help: pentagonal prism https://en.wikipedia.org/wiki/Pentagonal_prism. it seems to fit what you are looking for!
Step-by-step explanation: