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Q.

Find the number of faces, edges and vertices a pyramid has with n sided polygon as its base?


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a

Faces =n+2, Vertices =n+2, and Edges =2n

b

Faces =n+3, Vertices =n+3, and Edges =2n

c

Faces =n+1, Vertices =n+1, and Edges =2n

d

Faces =n+1, Vertices =n+1, and Edges =n 

answer is C.

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Detailed Solution

It is given that,
Pyramid with n sided polygon as its base.
We have to find out the number of faces, vertices, and edges of this pyramid.
For this,
Consider a pyramid with 3-sided base and a pyramid with 4-sided base.
Question Image and  Question ImageNow,
On comparing both the pyramid,

 

       Face

    Vertices

    Edge

Pyramid with 3-sided Base

      4                           

          4 

         6

Pyramid with 4-sided Base

       5

          5

          8

From above table we get,
Pyramid with n-sided base have
Faces =n+1, Vertices =n+1, and Edges =2n.
Hence, option (3) is correct.
 
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