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Visualising Solid Shapes

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Mathematics

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Mathematics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12
Let there be a combination of three cubes, one on the top of the other as shown in the adjoining figure. What will be its top and side view?


(i) If we look at this solid structure from the top, we would see just a square.


(ii) If we look at it from a side, i.e. left or right, then we would see a figure as shown here.

Note: In this case the front view would also be the same.

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

(i) Polyhedron: A solid shapes bounded by polygons is called a polyhedron. For example, cube, cuboid, etc.
(ii) Prism: A prism is a solid, whose faces are parallelograms and whose ends (or bases) are congruent parallel rectilinear figures.
(iii) Pyramid: A pyramid is a polyhedron whose base is a polygon of any number of sides and whose other faces are triangles with a common vertex.

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Which of the following solids are not polyhedrons?


(i) A cylinder is not a polyhedron.
(ii) A cuboid is a polyhedron.
(iii) A cube is a polyhedron.
(iv) A cone is not a polyhedron.
(v) A sphere is not a polyhedron.
(vi) A pyramid is a polyhedron.

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A cuboid has _______ faces, _______ edges and _______ vertices.

6

,

12

,

8

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According to the Euler’s formula, we have F + V – E =  ___________.

2

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Following solids are made by joining cubes. Draw their different views.


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