Question

Show that Euler's formula holds for a right pentagonal prism.

Answer 1

His formula for polyhedra is
Vertices - Edges + Faces = 2

Sketch two congruent pentagons, one above the other.
Join corresponding vertices, perhaps with dotted lines for the lines that are hidden.
You should have a nice drawing of your solid.

Number of vertices = 10
number of edges = 15
number of faces = 7

is 10 - 15 + 7 = 2 ??

YES!!!!

Answer 2

Thank you!