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Question
A polyhedron has 60 edges and 40 vertices. Find the number of its faces.
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Solution
By using Euler’s formula for polyhedron,
F + V – E = 2 ...[Where, F = faces, V = vertices, E = edges]
⇒ F + 40 – 60 = 2 ...[∵ E = 60 and V = 40, given]
⇒ F – 20 = 2
⇒ F = 2 + 20
⇒ F = 22
Hence, the number of faces are 22.
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