Question

A polyhedron has 38 edges and 23 faces. Use Euler’s formula to find the number of vertices.

Answer 1

The number of vertices are
`17`

Explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

so

`V - E + F = 2`

substitute the values and solve for V

`V - 38 +23 = 2`

`V - 15 = 2`

`V = 2+15`

`V = 17`