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A pyramid on an n sided polygon has ____ faces.

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Detailed Solution

A pyramid on an n sided polygon has

n + 1

faces.
Given solid is a Pyramid.
We have to find out the number of faces of the pyramid whose base is unknown.
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,

	Number of Faces
Pyramid with 3-sided Base	4
Pyramid with 4-sided Bases	5

From above table we get,
Pyramid with n-sided base has

n + 1

faces.
Hence, answer is

n + 1

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