Question

A polyhedron has 60 edges and 40 vertices Find the number of its
faces

Answer 1

Answer:

I hope it helps...............

Answer 2

Answer :-

• No. of faces of polyhedron is 22

Given :-

• A polyhedron has 60 edges and 40 vertices .

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Find :-

• The number of faces.

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Formula :-

According to Euler's rule,

$\rm \: F + V- E= 2.. \longmapsto(1)$

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Solution :-

Given :

• F = ?
• V = 40
• E = 60

$\rm \: F + V- E= 2.. \longmapsto(1)$

$\implies \rm \: F +40- 60= 2$

Simplifying equation 1

$\implies \rm \: F - 20= 2$

$\implies \rm \: F = 2 + 20$

$\implies \rm \: F = 22$

$\sf \therefore \: No. \: of \: faces \: of \: a \: polyhedron \: is \: \bf22$