Question

Can a polyhedron have 10 faces, 20 edges and 15 vertices?

Answer 1

by Euler's formula
F+V=E+2

given
faces =F=10
edges =E=20
vertices=V=15
1)F+V=10+15=25
2)E+2=20+2=22
here 1) and 2) are not equal
polyhedron is not possible

Answer 2

Here faces = 10, edges = 20, vertices = 15

According to Euler's formula.

F + V - E = 2

=> 10 + 5 - 20 = 25 - 20

=> 5 =/ 2

A polyhendron do not have 10 faces, 20 edges, and 15 vertices.