Can a polyhedron have 12 faces 22 edges and 17 vertices
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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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