Math, asked by divyansh1019094, 10 months ago

Q. it is possible to have a polyhedron with :

1. 6 faces, 8 vertices, 11 edges
2. 4 faces, 3 vertices, 5 edged
3. 5 faces, 6 vertices, 9 edges ​

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Answers

Answered by 9908
2

Step-by-step explanation: BY EULER'S FORMULA

=> F + V = E +2

 1. 6 + 8 =  11 +2  

    = 14  ≠ 13

∴ IT IS NOT POSSIBLE TO HAVE A POLYHEDRON

2. 4 + 3 = 5 +2

=>  7 = 7

∴ IT IS POSSIBLE TO HAVE A POLYHEDRON

3. 5+ 6 = 9+2

=> 11 = 11

∴ IT IS POSSIBLE TO HAVE A POLYHEDRON

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