Verify Euler's formula for a pentagonal pyramid

Hi!

Here is the answer to your question.

 

According to Euler’s formulae,

Number of vertices + Number of faces – Number of edges = 2

 

In the given pentagonal pyramid,

Number of vertices = 6

Number of faces = 6

Number of edges = 10

Number of vertices + Number of faces – Number of edges = 6 + 6 –10 = 2.

Hence, Euler’s formula is verified.

 

Cheers!