Can a polyhedron have 20 faces ,40 edges and 30 vertices?explain
Answers
Answered by
14
No, as 20+30-40 is not equal to 2.
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Answered by
16
verifying by Euler's formula ..
faces + vertices - edges = 2
lets take L.H.S and R.H.S
L.H.S part
faces+vertices-edges
20+30-40
50-40
=10
L.H.S is not equal to R.H.S
therefore there is no polygon with 20 faces, 40 edges and 30 vertices.
hope it will help you.
faces + vertices - edges = 2
lets take L.H.S and R.H.S
L.H.S part
faces+vertices-edges
20+30-40
50-40
=10
L.H.S is not equal to R.H.S
therefore there is no polygon with 20 faces, 40 edges and 30 vertices.
hope it will help you.
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