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Question

Find whether the following table satisfies the EULER'S formula or not. [4 MARKS]

No. of FacesNo. of VerticesNo. of Edges346381246123203051230

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Solution

Formula: 1.5 Marks
Application: 0.5 Mark each

Euler’s Formula:
Faces + Vertices – Edges = 2

1) 3 + 4 - 6 = 1

1 2


2) 3 + 8 -12 = -1

1 2


3) 4 + 6 - 12 = -2

-2 2


4) 3 + 20 - 30 = -7

-7 2


5) 5 + 12 - 30 = -13

-13 2

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