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Question

In a solid if $$ F=V = 5$$, then the number of edges in this shape is

A
6
B
4
C
8
D
2
Solution
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Correct option is C. 8
The correct answer is option $$(c).$$
For any polyhedron, Euler' s formula ;
$$F + V - E = 2$$
Where, $$F$$ = Face and $$V$$ = Vertices and $$E$$ = Edges
Given, $$ F = V = 5$$
On putting the values of $$F$$ and $$V$$ in the about formulae,
$$ 5 + 5 - E = 2$$
$$\Rightarrow 10 - E = 2$$
$$\Rightarrow E = 8$$

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