Question

Which of the following cannot to be true for a polyhedron ?

Answer 1

Correct option is D. V = 4, F = 6, E = 6

The correct answer is option $$(d)$$.

Euler's Formula for any polyhedron$$ = F + V -E = 2$$

Where, F = Faces and V = Vertices and $$E =$$ Edges

Option $$A:$$

$$F+V-E=4+4-6=2$$

Option $$B:$$

$$F+V-E=6+8-12=2$$

Option $$C:$$

$$F+V-E=10+12-20=2$$

Option $$D:$$

$$F+V-E=4+6-6=4\neq2$$