What is Euler's formula? Verify the Euler's formula for a pentagonal prism.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Euler's Formula:

For a polyhedron having F number of faces, E number of edges and V number of vertices, we have F + V = E + 2.


The pentagonal prism looks like:

Here, Number of faces (F) = 7

Number of edges (E) = 15

And number of vertices (V) =10

Now, F + V = 7 + 10 = 17

And, E + 2 = 15 + 2 = 17

Thus, F + V = E + 2

Hence, Euler's formula is verified.

Answered by  | 4th Jun, 2014, 03:23: PM