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प्रश्न
A polyhedron can have 10 faces, 20 edges and 15 vertices.
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
We know that, Euler's formula satisfies for every polyhedron.
i.e. F + V – E = 2
Here, F = 10, E = 20
And V = 15
On putting these values in the Euler's formula, we get
10 + 15 – 20 = 2
⇒ 25 – 20 = 2
⇒ 5 ≠ 2
Hence, the given values does not satisfy the Euler's formula.
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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.
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 | 8 |
| Vertices | 11 |
| Edges | r |
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