Posted by **Nicole** on Friday, February 19, 2010 at 8:02pm.

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

- Geometry -
**Reiny**, Friday, February 19, 2010 at 8:19pm
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!!!!

- Geometry -
**Nicole**, Friday, February 19, 2010 at 9:53pm
Thank you!

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