Question 13 Marks
Complete the following table and verify Euler’s formula in each case.
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 |
 |
 |
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Faces $(F)$
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$6$
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$4$
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$9$
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$7$
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Edges $(E)$
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$12$
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$6$
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$16$
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$15$
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Vertex $(V)$
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$8$
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$4$
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$9$
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$10$
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Answer
Hence Euler's formula is verified for these figures.
View full question & answer→|
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I
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II
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III
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IV
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Faces $(F)$
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$6$
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$4$
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$9$
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$7$
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Edges $(E)$
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$12$
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$6$
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$16$
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$15$
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Vertices $(V)$
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$8$
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$4$
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$9$
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$10$
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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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