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