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1.

Draw the front view, side view and top view of the given objects.

Answer» front view and side view are given in video.
Discussion
2.

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

Answer» Euclid formula
faces+vertices-edges should equal to 2
F+V-E=10+2-15=5
this polyhedral not satisfy euclid formula.
Discussion
3.

(i)       How are prisms and cylinders alike?(ii)       How are pyramids and cones alike?

Answer» 1)prism with circular base is cylinder
2)Pyramids with circular base is cone.
Discussion
4.

Verify Euler’s formula for these solids.

Answer» Eulers formula
Face+Vertices-Edges=2
1)Face=7
Vertices=10
Edges=15
Eulers=F+V-E=7+10-15=2
2)Face=9
Vertices=9
Edges=16
Eulers=F+V-E=9+9-16=2.
Discussion
5.

Can a polyhedron have for its faces(i)        3 triangles?(ii)       4 triangles?(iii)       a square and four triangles?

Answer» 1) no, minimum 4 faces2) Yes,3) Yes.
Discussion
6.

Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).

Answer» It is possible if number of face is greater than 3
Discussion