Question

if a polyhedron has 12 vertices and 8 faces then number of edges of the polyhedron​

Answer 1

$\underline{\boxed{\bold{Question}}}$  

↠ If a polyhedron has 12 vertices and 8 faces then number of edges of the polyhedron​ ?

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$\underline{\boxed{\bold{Important\;Information}}}$  

↠ In mathematics, Polyhedron are 3-D shapes with many vertices, faces and edges. Word Polyhedron is derived from Greek word : poly = Many and hedron = Base

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$\underline{\boxed{\bold{Given}}}$

↠ Vertices = 12

↠ Faces = 8

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$\underline{\boxed{\bold{Answer}}}$

Let's Start !

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A unique relation between Vertices , Faces and Edges is given by :

$\boxed{\bold{(Vertices+Faces)-Edges=2}}$

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So now by given formula , Let's find Edges.

$:\implies (Vertices+Faces)-Edges=2$

$:\implies (12+8)-Edges=2$

$:\implies 20-Edges=2$

$:\implies Edges= 20 - 2$

$\boxed{:\implies Edges= 18}$

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$\boxed{\boxed{\bold{\therefore Edges\;present\;in\;polyhedron=18}}}$

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Hope this helps u.../  

【Brainly Advisor】

Answer 2

Step-by-step explanation:

If a polyhedron has 12 vertices and 8 faces then number of edges of the polyhedron ?

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\underline{\boxed{\bold{Important\;Information}}}

ImportantInformation

↠ In mathematics, Polyhedron are 3-D shapes with many vertices, faces and edges. Word Polyhedron is derived from Greek word : poly = Many and hedron = Base

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\underline{\boxed{\bold{Given}}}

Given

↠ Vertices = 12

↠ Faces = 8

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\underline{\boxed{\bold{Answer}}}

Answer

Let's Start !

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

A unique relation between Vertices , Faces and Edges is given by :

\boxed{\bold{(Vertices+Faces)-Edges=2}}

(Vertices+Faces)−Edges=2

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So now by given formula , Let's find Edges.

:\implies (Vertices+Faces)-Edges=2:⟹(Vertices+Faces)−Edges=2

:\implies (12+8)-Edges=2:⟹(12+8)−Edges=2

:\implies 20-Edges=2:⟹20−Edges=2

:\implies Edges= 20 - 2:⟹Edges=20−2

\boxed{:\implies Edges= 18}

:⟹Edges=18

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