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प्रश्न
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.
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उत्तर
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is 30.
Explanation:
We know that, Euler’s formula for any polyhedron is F + V – E = 2
Given, faces, F = 12, vertices, V = 20
Now, on putting the value of F and V in the Euler’s formula, we get
12 + 20 – E = 2
⇒ 32 – E = 2
⇒ 32 – 2 = E
⇒ E = 30
Hence, the number of edges = 30
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संबंधित प्रश्न
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| (i) | x | 15 | 20 |
| (ii) | 6 | y | 8 |
| (iii) | 14 | 26 | z |
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| Vertices | z |
| Edges | 16 |
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