Question

The number of vertices in a pyramid is equal to the number of faces. How many vertices does a regular pyramid with 40 edges have?

Answer 1

Answer:

There would be 21 vertices.

Step-by-step explanation:

Remember that the Euler's formula states that

                      V   -  E   + F  =    2

According to the problem V = F , so

       2V    -  E   = 2

and   E = 40. Therefore  

2V - 40  = 2    and  , V = 21 , and there would be 21 vertices.