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Question
Using Euler’s formula, find the value of unknown y in the following table.
| Faces | y |
| Vertices | 12 |
| Edges | 18 |
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Solution
By using Euler’s formula for polyhedron
From, V = 12, E = 18 and F = y
So, F + V – E = 2
⇒ y + 12 – 18 = 2
⇒ y – 6 = 2
⇒ y = 2 + 6
⇒ y = 8
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