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

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Faces

= n + 2

, Vertices

= n + 2,

and Edges

= 2 n

Faces

= n + 3

, Vertices

= n + 3,

and Edges

= 2 n

Faces

= n + 1

, Vertices

= n + 1,

and Edges

= 2 n

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

Now,
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

= 2 n

.
Hence, option (3) is correct.

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

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Detailed Solution

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