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Question

(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick.

Which of the above are polyhedrons? Explain.
[5 marks]


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Solution

A polyhedron is a three-dimensional shape having polygons as its faces are usually joined by edges.

[1 mark]

An ice cream cone is in the shape of a cone.

[1 mark]
A cricket ball is in the shape of a sphere.

​​​​​​​[1 mark]
A glass tumbler has the shape of a cylinder.

​​​​​​​[1 mark]
Cone, sphere, and cylinder have curved surfaces. So, they do not come under the category of polyhedrons.

Whereas, A brick has the shape of a cuboid. A cuboid has rectangular faces and no curved surface.
​​​​​​​
So, only "a brick" is a polyhedron.
[1 mark]


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