Verify Euler’s formula for these solids.

1.	Verify Euler’s formula for these solids.
Answer» (i) Number of faces = F = 7 Number of vertices = V = 10 Number of edges = E = 15 We have, F + V − E = 7 + 10 − 15 = 17 − 15 = 2 Hence, Euler’s formula is verified. (ii) Number of faces = F = 9 Number of vertices = V = 9 Number of edges = E = 16 F + V − E = 9 + 9 − 16 = 18 − 16 = 2 Hence, Euler’s formula is verified.

Answer»

(i) Number of faces = F = 7

Number of vertices = V = 10

Number of edges = E = 15

We have, F + V − E = 7 + 10 − 15 = 17 − 15 = 2

Hence, Euler’s formula is verified.

(ii) Number of faces = F = 9

Number of vertices = V = 9

Number of edges = E = 16

F + V − E = 9 + 9 − 16 = 18 − 16 = 2

Hence, Euler’s formula is verified.

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