Question 14 Marks
Complete the following table and verify Euler’s formula in each case.
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|
 |
 |
 |
 |
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Faces (F)
|
6
|
4
|
9
|
7
|
|
Edges (E)
|
12
|
6
|
16
|
15
|
|
Vertex (V)
|
8
|
4
|
9
|
10
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Answer
Hence Euler's formula is verified for these figures.
View full question & answer→|
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I
|
II
|
III
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IV
|
|
Faces (F)
|
6
|
4
|
9
|
7
|
|
Edges (E)
|
12
|
6
|
16
|
15
|
|
Vertices (V)
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8
|
4
|
9
|
10
|
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Euler's formula ( F - E + V)
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6 - 12 + 8 = 2
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4 - 6 + 4 = 2
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9 - 16 + 9 = 2
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7 - 15 + 10 = 2
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