Is it possible to have a polyhedron with 7 faces, 10 vertices and 15 edges? Give a reason and name such a solid if possible.

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Euler's Formula Relating Faces Vertices and Edges | PadhAiPro

Question

TextEuler's Formula Relating Faces Vertices and Edges

A polyhedron has 8 faces and 6 vertices. How many edges does it have?

For a pentagonal prism, the numbers of faces (F), vertices (V) and edges (E) are:

Euler's Formula Relating Faces Vertices and Edges

Which of the following sets of numbers cannot be the faces (F), vertices (V) and edges (E) of a polyhedron?

A hexagonal pyramid has 7 faces, 7 vertices and 12 edges.

A polyhedron has 12 faces and 30 edges. How many vertices does it have?

A polyhedron has 6 vertices and 12 edges. How many faces does it have?