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Question
Which of the following cannot be true for a polyhedron?
Options
V = 4, F = 4, E = 6
V = 6, F = 8, E = 12
V = 20, F = 12, E = 30
V = 4, F = 6, E = 6
Solution
V = 4, F = 6, E = 6
Explanation:
Euler's Formula for any polyhedron = F + V – E = 2
Where, F = Faces and V = Vertices and E = Edges
Given, F = 6, V = 4 and E = 6
L.H.S. = F + V – E
= 6 + 4 – 6
= 10 – 6 = 4 ≠ R.H.S.
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