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प्रश्न
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
उत्तर
In the given figure, we have
Faces (F) = 9, Vertices (V) = 9 and Edges (E) = 16
On putting these values in Euler's formula, we get
F + V – E = 2
⇒ 9 + 9 – 16 = 2
⇒ 18 – 16 = 2
⇒ 2 = 2
Hence, these values satisfies the Euler's formula. So, it is a polyhedra.
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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 y in the following table.
| Faces | y |
| Vertices | 12 |
| Edges | 18 |
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| Faces | 9 |
| Vertices | z |
| Edges | 16 |
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