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Visualising Solid Shapes

Short Answer Type

31. A polyhedron has 4 faces and 6 edges. Find the number of its vertices.

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32. A polyhedron has 5 faces and 6 vertices. How many edges will it have?

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Long Answer Type

33. Define the following:
(i) Polyhedron (ii) Prism (iii) Pyramid

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Short Answer Type

34. What is a polyhedra?

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35. What is a tetrahedron?

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36. What is a parallelopiped?

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Long Answer Type

37. Which of the following solids are not polyhedrons?

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Short Answer Type

38. Why the following solids are not polyhedron?
(i) A sphere.
(ii) A cone.
(iii) A cylinder.

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39. Name the following polyhedron.

How many faces, vertiecs and edges of this solid are there?

∵ The ends (bases) of the given solid are congruent rectilinear figure each of six sides.
∴ It is a hexagonal prism.
In a hexagonal prism, we have:
The number of faces = 8
The number of edges = 18
The number of vertices = 12

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40. What Euler’s formula? Verify the Euler’s formula for a pentagonal prism.

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Previous Year Papers

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Short Answer Type

39. Name the following polyhedron.How many faces, vertiecs and edges of this solid are there?

39. Name the following polyhedron.

How many faces, vertiecs and edges of this solid are there?