Question

A pyramid has ___ faces, ___ edges and ___ vertices.

Answer 1

Hint: In this question we have to find the total number of faces, edges and vertices a pyramid has. A pyramid is a three-dimensional shape which has its faces resembling a triangle and there also exists the base of the pyramid which resembles a polygon shape. We will look at the diagram of a pyramid and find all the required values of faces, edges and vertices.

Complete step by step solution:
We have to find the number of faces, edges and vertices of a pyramid which are the key features of the pyramid.
Faces: A pyramid has a total of $5$ faces. The $4$ faces of the pyramid represent the shape of a triangle and the remaining face which is also called as the base of the pyramid represents a polygon shape and all the triangular faces are always congruent to the opposite triangular face. It can be seen in the figure the $5$ faces of the pyramid.
Edges: Edges in the pyramid represent the joining of the various faces. It actually resembles the line where two faces meet each other. There are total $8$ edges in a pyramid. $4$ edges are located on the bottom which is on joining of the base with the $4$ triangular faces and the rest $4$ faces are present on the joining of the triangular faces. It can be seen in the figure $a,b,c,d,e,f,g$ and $h$ are the edges of the pyramid.
Vertices: vertices in the pyramid is the point at which the edges meet. A pyramid has total $5$ vertices, of which $4$ are present on the base and $1$ is at the point where all the vertical edges meet. It can be seen in the figure that points $A,B,C,D$ and $E$ are the vertices of the pyramid.

Therefore, the solution is:
A pyramid has 5 faces, 8 edges and 5 vertices.

Note: In this example we have seen the various properties of a rectangular pyramid which has a rectangle as its base. There also exists various other types of pyramids such as triangular pyramid, square pyramid, hexagonal pyramid, pentagonal pyramid etc. the number of edges, vertices and faces might differ in these types of pyramids.