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Can a polyhedron have 10 faces, 20 edges...

Can a polyhedron have `10` faces, `20` edges and `15` vertices? Check using Euler's formula.

A

Yes

B

No

C

Cannot be determined

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B

Euler's formula
faces+vertices-edges should equal to 2
F+V-E=10+15-20=5
this polyhedral not satisfy Euler's formula.
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