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6.Verify Euler’s formula for these solids.
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Answer :
(i) In this given figure we have,
F = 7, V = 10, E =15
∴ F + V =7 + 10 = 17 and E + 2 =15 + 2 = 17
\(\Rightarrow\) F+V=E+ 2
Thus, Euler’s formula is verified.
(ii) In this given figure,
F =9, V = 9,E =16
∴ F + V =9 + 9 =18 and E + 2 =16 +2 =18
\(\Rightarrow\) F + V =E + 2
Thus, Euler’s formula is verified.