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Question
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
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Solution
In the given figure, we have
Faces (F) = 8, Vertices (V) = 12 and Edges (E) = 18
On putting these values in Euler’s formula, we get
F + V – E = 2
⇒ 8 + 12 – 18 = 2
⇒ 20 – 18 = 2
⇒ 2 = 2
Hence, these values satisfies the Euler’s formula. So, it is a polyhedra.
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