The base of a pyramid has n sides. write an expression for the number of faces of the pyramid.

The total number of faces of the pyramid is .

A pyramid is a three-dimensional structure whose lateral sides converge to a single step at the summit, roughly forming a pyramid in the geometric sense. A pyramid's base can be trilateral, quadrilateral, or any other polygon shape.

For a pyramid having triangular base then, the total number of faces will be .

In a similar way, if a pyramid has four sides at the base then, the total number of faces will be .

Hence, in the given question the pyramid has sides at the base so, the total number of faces of the pyramid is .

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The expression for number of faces of a pyramid =1+n

Step-by-step explanation:

A Pyramid is a polyhedron or a three dimensional shape having a polygon base and all lateral faces are triangles .

Its base describe the number of other faces of it.

For example a triangular pyramid has a triangular base which gives rise to 3 lateral faces , and a rectangular pyramid has a rectangular base which give rise to 4 lateral faces and so on

So the total number of faces in a pyramid = base + lateral faces

If a pyramid has n sides therefore it give rise to n lateral faces such that

The total number of faces in a pyramid= 1+n .

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