Question

यदि एक बहुफलक में 5 फलक और 6 शीर्ष हैं, तो उसके कितने किनारे होंगे?*​

Answer 1

SOLUTION

TO DETERMINE

If a polyhedron has 5 faces and 6 vertices, how many edges will it have?

FORMULA TO BE IMPLEMENTED

Euler’s formula for Polyhedron :

For polyhedron F + V = E + 2

Where F stands for number of faces , V stands for number of vertices , E stands for number of edges .

EVALUATION

Here it is given that

F = Number of faces = 5

V = Number of vertices = 6

E = Number of edges = ?

Using Euler’s formula we get

F + V = E + 2

⇒ 5 + 6 = E + 2

⇒ E + 2 = 11

⇒ E = 9

FINAL ANSWER

Hence the required Number of edges = 9

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