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प्रश्न
Which of the following cannot be true for a polyhedron?
पर्याय
V = 4, F = 4, E = 6
V = 6, F = 8, E = 12
V = 20, F = 12, E = 30
V = 4, F = 6, E = 6
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उत्तर
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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संबंधित प्रश्न
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Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
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Using Euler’s formula, find the value of unknown x in the following table.
| Faces | 7 |
| Vertices | 10 |
| Edges | x |
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| Faces | y |
| Vertices | 12 |
| Edges | 18 |
Check whether a polyhedron can have V = 12, E = 6 and F = 8.
