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प्रश्न
Verify Euler's formula for the following polyhedron:
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उत्तर
In the following polyhedron:
Edges E=16
Faces F=9
Vertices V=9
Now, putting these values in Euler's formula:
LHS: F+V
= 9 + 9
= 18
RHS: E + 2
=16+2
=18
LHS = RHS
Hence, Euler's formula is satisfied.
संबंधित प्रश्न
Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).
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| Faces | Vertices | Edges |
| 20 | 13 | 30 |
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