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(i) 3 triangles?

(ii) 4 triangles?

(iii) a square and four triangles?

Answer :

A polyhedron is a solid which is bounded by four or more polygonal faces in such a way that pairs of faces meet along edges and three or more edges meet in each vertex.Therefore,

(i)No because a polyhedron cannot for its faces have three triangles.

(ii)Yes

(iii)Yes

- 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.
- 8.Can a polyhedron have 10 faces, 20 edges and 15 vertices?

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