Question

5) Can a polyhedron have 20 faces, 12 vertices and 22
edges? Justify.

Answer 1

Answer:

by using your Euler's formula we can check whether a polyhedroncan have 20 faces 12 vertices and 22 edges or not.

F+V-E=2

LHS = 20+12-22

=32-22

=10

RHS=2

therefore a polyhedron cannot have 20 faces 12 vertices and 22 edges.