Math, asked by chittamaji74, 6 months ago

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Answered by suryachadrkanti
1

Answer:

(i) Faces-?,vertices-6,edges-12

Euler's formula: F+V–E=2

F+6–12=2

F=2+12–6=8

F=8

(ii) Faces-5,vertices-?,edges-9

Euler's formula: F+V–E=2

5+V–9=2

V=2+9–5=6

V= 6

(iii) Faces-20,vertices-12,edges-?

Euler's formula: F+v–E=2

20+12–E=2 ,

E=20+12–2

E=30

Answered by Soumikstar
1

Step-by-step explanation:

Euler's formula =

F+V=E+2

(i) Here, F= 4 ,V= a,E = 6

Hence, (4+a)=(6+2)

= 4+a=8

= a= 8-4

= a= 4

Therefore the number of vertices are 4

(ii) Here, F= b,V= 16,E = 24

Hence, (b+16)= (24+2)

= (b+16) = 26

= b= (26-16)

= b= 10

Therefore the number of edges are 10.

Hope my answer is clear.

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