Question

Can a polyhedron have 12 faces 22 edges and 17 vertices

Answer 1

No, a polyhedron cannot have 12 faces 22 edges, and 17 vertices.

Step-by-step explanation:

Given that,

F = 12

E = 22

V = 17

According to Euler's formula for Polyhedron,

F + V -  E = 2

by applying it,

12 + 17 - 22 = 2

∵ 7 ≠ 2

Thus, a polyhedron cannot have 12 faces 22 edges, and 17 vertices.

Learn more: Euler's formula

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