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Question
Using Euler’s formula, find the value of unknown z in the following table.
| Faces | 9 |
| Vertices | z |
| Edges | 16 |
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Solution
By using Euler’s formula for polyhedron
From, F = 9, E = 16 and V = z
So, F + V – E = 2
⇒ 9 + z – 16 = 2
⇒ z – 7 = 2
⇒ z = 2 + 7
⇒ z = 9
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