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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
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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