Question

can a polyhedron have 10 faces ,20 edges and 10 vertices ?​

Answer 1

Answer:

No

Step-by-step explanation:

The formula says:

Vertices - Edge + Faces = 2

Lets plug the numbers in and see if we get 2:

Vertices = 10

Edge = 20

Faces = 10

Therefore:

Vertices - Edge + Faces = 10 - 20 + 10 = 0

Conclusion:

Since we did get 0 and not  2 for the answer, then it cannot be possible.

Answer: No

Answer 2

Answer:

Hey there

No, polyhedron can't have 10 faces ,20 edges and 10 vertices,

Because in any polyhedron:

• edges are double of its faces
• vertices are always more than no of. faces

V - E + F = 2

10 - 20 - 10 = 0 ≠ 2

Hope it helps you

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