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Answer :

Since F + V \(\neq\) E +2 (as 10 +15 ? 20 + 2) so a polyhedron cannot have 10 faces, 20 edges and 15 vertices.

- 1.Can a polyhedron have for its faces (i) 3 triangles? (ii) 4 triangles? (iii) a square and four triangles?
- 2.Is it possible to have a polyhedron with any given number of faces? (Hint : Think of a pyramid)
- 3.Which are prisms among the following ?
- 4.(i) How are prisms and cylinders alike? (ii) How are pyramids and cones alike?
- 5.Is a square prism same as a cube? Explain.
- 6.Verify Euler’s formula for these solids.
- 7.Using Euler’s formula find the unknown.

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