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CAN A POLYHEDRON HAVE 10 FACES,20 …

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CAN A POLYHEDRON HAVE 10 FACES,20 EDGES AND 15 VERTICED

Posted by Princy Yadav 6 years, 11 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 6 years, 11 months ago

No.It can't have 10 faces , 20 edges, and 15 vertices as The formula i.e. Euler's formula isn't being satisfied.
According to the formula....
(F+V)-E=2
Where,
F= faces=10
E=edges=20
V= vertices=15
(F+V)-E=2
(10+15)-20=2
25-20=2
but 5≠2
so,the Euler's formula is not satisfied.
Therefore,A polyhedron cannot have 10 faces , 20 edges, and 15 vertices.

1Thank You

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CBSE > Class 08 > Mathematics