Question

Which of the following can not be true for a polyhedron? (a) V=4, F=4, E=6 (b) V=6, F=8, E=12 V (c) V=20, F=12, E=30 (d) V=4, F=6, E=6​

Answer 1

Answer:

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

=2