Question
Answer:
:
Each part: 2 Marks
(i)Faces = 7, Vertices = 10, Edges = 15
By Euler's Formula, F + V- E = 2
7 + 10 - 15 = 2
17 - 15 = 2
Therefore, Euler's Theorem is verified.
(ii)Faces = 9, Vertices = 9, Edges = 16
By Euler's Formula, F + V - E = 2
9 + 9 - 16 =2
18 - 16 = 2
Therefore, Euler's Theorem is verified.
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:
Each part: 2 Marks
(i)Faces = 7, Vertices = 10, Edges = 15
By Euler's Formula, F + V- E = 2
7 + 10 - 15 = 2
17 - 15 = 2
Therefore, Euler's Theorem is verified.
(ii)Faces = 9, Vertices = 9, Edges = 16
By Euler's Formula, F + V - E = 2
9 + 9 - 16 =2
18 - 16 = 2
Therefore, Euler's Theorem is verified.
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