Question

Can a polyhedron have 8 faces, 14 edges and 6 vertices? Specify reason.​

Answer 1

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Step-by-step explanation:

Number of faces =8

Number of vertices =16

Number of edges =26

Using Euler’s formula :-

F+V−E=2

8+16−26

8+16−26

−2 is not equal to 2

No, a polyhedron cannot have 8 faces, 26 edges and 16 vertices

Answer 2

Step-by-step explanation:

No, a polyhedron cannot have 8 faces, 26 edges and 16 vertices.