A polyhedron has 7 faces and 10 vertices. How many edges does the polyhedron have?

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Solution

The correct option is A 15
For any polyhedron.
$F + V - E = 2$
Here, $F = 7, V = 10$

Using above formula,
$\Rightarrow 7 + 10 - E = 2 \Rightarrow 17 - E = 2 \Rightarrow 17 - 2 = E \Rightarrow E = 15$

$∴$ No. of edges $= 15$

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