Question

Can a polyhedron have 10 faces, 20 edges and 15 vertices? JUSTIFY YOUR ANSWER.

Answer 1

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By Euler's formula,

F + V - E = 2

Substituting the given values

10 + 15 - 20 = 35 - 20 = 15 which is not equal to 2.

A solid needs to satisfy the Euler's formula to be called a polyhedron.

➡️ A polyhedron cannot have 10 faces, 20 edges and 15 vertices.

Answer 2

Answer:

no

Step-by-step explanation:

F+V-E=2 thank u. ....,...........

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