Question
Find whether the following table satisfies the EULER'S formula or not. [4 MARKS]
No. of FacesNo. of VerticesNo. of Edges346381246123203051230
Answer: Option A
:
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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:
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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