Question

The base of a pyramid has n sides.
Write an EXPRESSION for the number of faces of the pyramid.

Answer 1

Answer: 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 .

Answer 2

The total number of faces of the pyramid is $n+1$.

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 $3+1=4$.

In a similar way, if a pyramid has four sides at the base then, the total number of faces will be $4+1=5$.

Hence, in the given question the pyramid has $n$ sides at the base so, the total number of faces of the pyramid is $(n+1)$.

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