A square-based pyramid has five corners, which are typically called vertices. It consists of a square base, which has four corners, as well as a corner at the apex where the triangle faces converge.
A square-based pyramid has eight edges, four along the square base and four where the triangle side faces meet each other. The surface area of a pyramid can be calculated by determining the surface area of each of the sides. Since all triangle faces are identical, the surface area for each are the same. The formula for volume is the base area times the height, all divided by three.