Question

10. (Verify whether a polyhedron can have 10 faces, 20 edges and 15 vertices.
(W) If F = 18 and V = 10, then find the value of E in Euler's formula.
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Answer 1

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Answer 2

Answer:

ANSWER

By Euler's formula for a polyhedron, Vertices (V) - Edges (E) + Faces (F) =2

Here,  Faces (F) = 10; Vertices (V) = 15 and Edges (E) = 20 

Thus, 15 - 20 + 10 = 5, which does not satisfy the Euler's formula. 

Hence, a polyhedron cannot have 10 faces, 20 edges and 15 vertices