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Question
A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.
Solution
By using Euler's formula for polyhedron,
F + V – E = 2 ...[Where, F = faces, V = vertices, E = edges]
Given, Faces (F) = 20, Vertices (V) = 12
⇒ 20 + 12 – E = 2
⇒ 32 – E = 2
⇒ E = 32 – 2
⇒ E = 30
Hence, the edges of the polyhedron are 30.
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