Question
If a solid shape has $12$ faces and $20$ vertices, then the number of edges in this solid is _____.
✓
Answer
If a solid shape has $12$ faces and $20$ vertices, then the number of edges in this solid is $30.$
Solution:
Given, faces, $F = 12,$ vertices, $V = 20$
Now, on putting the value of $F$ and $V$ in the Euler's formula, we get $12 + 20 - E = 2$
$\Rightarrow 32 - E = 2$
$\Rightarrow 32 - 2 = E$
$\Rightarrow E = 30$
Hence, the number of edges $= 30$
Solution:
Given, faces, $F = 12,$ vertices, $V = 20$
Now, on putting the value of $F$ and $V$ in the Euler's formula, we get $12 + 20 - E = 2$
$\Rightarrow 32 - E = 2$
$\Rightarrow 32 - 2 = E$
$\Rightarrow E = 30$
Hence, the number of edges $= 30$
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