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Can a polyhedron have 10 faces …

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Can a polyhedron have 10 faces , 20 edges and 15 vertices ? Why ?

Posted by Lekha✌️ Kumari? 6 years, 3 months ago

CBSE > Class 08 > Mathematics

2 answers

Bhola Sankar Swain 6 years, 3 months ago

Yes what yogita lngle said

1Thank You

Yogita Ingle 6 years, 3 months ago

No a polyhedron cant have 10 faces , 20 edges, and 15 vertices as eulers formula is not satisfied
euler's formula = faces+ vertices-edges = 2
                                 10 + 15-20 = 2
                                   25-20 = 2
                                         {tex} 5 \neq 2{/tex}
so it cant have 10 faces , 20 edges, and 15 vertices

2Thank You

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CBSE > Class 08 > Mathematics