Question

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

Answer 1

Answer:

The number of vertices are $17$

Step-by-step 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

$V - 38 +23 = 2$

$V - 15 = 2$

$V = 2+15$

$V = 17$