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Question
Using Euler’s formula, find the value of unknown x in the following table.
| Faces | 7 |
| Vertices | 10 |
| Edges | x |
Solution
By using Euler's formula for polyhedron
From, F = 7, V = 10 and E = x
So, F + V – E = 2
⇒ 7 + 10 – x = 2
⇒ 17 – x = 2
⇒ 17 – 2 = x
⇒ x = 15
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