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  • Can a polyhedron have 10 faces, 20 edges and 15 vertices?

8. Can a polyhedron have 10 faces, 20 edges and 15 vertices?

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Checking using Euler's Formula:

F + V = E +2;

Given that F = 10, V = 15 and E = 20 so,

Putting in equation: 10 + 15 = 35  and 20 +2 = 22

Hence, given polyhedron having 10 faces, 20 edges and 15 vertices is not possible.

Posted by

Divya Prakash Singh

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