Question

10)Which of the following cannot be true for a polyhedron?
F= 4V= 4 E= 6
F= 5 V= 9E= 12
F= 9 V= 6 E= 15
F= 6 V= 12 E=16

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

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=2