Question

How many edges are there in a square pyramid?

Answer 1

Edges in a square pyramid

1. A square pyramid is a three-dimensional shape that has a square base and triangular faces.
2. An edge is a line segment connecting two vertices and a side of one of the faces of the cuboid.
3. A vertex is a point defining the corner of a polygon.
4. A face is a flat surface of a 3D polygon.
5. The relationship between vertices, faces and edges is given by Euler's formula,
   $V-E+F=2$
   Where $V$ is the number of vertices, $E$ is the number of edges and $F$ is the number of faces.
6. Here $V=5,F=5$ $\therefore 5-E+5=2\Rightarrow E=8$
7. A square pyramid has $8$ edges.

Hence, a square pyramid has $8$ edges.