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Verify Euler’s formula for these solids.
(i)
(ii)
(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
Using Euler’s formula find the unknown
Faces | ? | 5 | 20 |
Vertices | 6 | ? | 12 |
Edges | 12 | 9 | ? |