Regular and Convex Polyhedron


 
 
Concept Explanation
 

Regular and Convex Polyhedron

Regular Polyhedron

A polyhedron in which its faces are made up of regular polygons which completely overlap each other and the same number of faces meet at each vertex is known as regular polyhedron. This means that the faces of a regular polyhedron are congruent regular polygons and its vertices are formed by the same number of faces.

A cube is a regular polyhedron but cuboid is not a regular polyhedron as its faces are not congruent rectangles. Polyhedron drawn in Fig. 19.8 is not regular because its faces are congruent triangles but the vertices are not formed by the same number of faces. Clearly, 3 faces meet at A but 4 faces meet at B.

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Sample Questions
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Question : 1

Example of convex polyhedrons are :-

Right Option : D
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Question : 2

Which is not the correct statement related to regular polyhedrons :-

1. Cube is an example of regular polyhedrons .

2. It is made up of regular polygons which completely overlap each other . 

3. Cuboid is an example of regular polyhedrons as it faces are congruent rectangles .

 

Right Option : C
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Question : 3

Following figure are an example of :- 

Right Option : C
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