In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid, and has C4v symmetry. If all edges are equal, it is an equilateral square pyramid, the Johnson solid J1.
A possibly oblique square pyramid with base length l and perpendicular height h has volume:
In a right square pyramid, all the lateral edges have the same length, and the sides other than the base are congruent isosceles triangles.
A right square pyramid with base length l and height h has surface area and volume:
The Johnson square pyramid can be characterized by a single edge length parameter l.
The height h (from the midpoint of the square to the apex), the surface area A (including all five faces), and the volume V of an equilateral square pyramid are: