# The area of a regular pyramid

In geometry, a pyramid is a polyhedron formed by joining a polygonal base and a point called a vertex. Each bottom edge and vertex forms a triangle called a side face. The triangular pyramid and square pyramid take their name from the shape of their base. We call a pyramid a ‘regular pyramid’ if the line between the top and the center of the base is perpendicular to the base. Cones are similar to pyramids, except that their bases are circles rather than polygons. The total surface area of a regular pyramid is the sum of the areas of its side faces and the base.

**Full surface area correct
Pyramids through the height**

**Base side a**

**Number of sides of the base n**

**Pyramid height h**

**The lateral surface area of a regular pyramid in terms of height**

**Base side a**

**Number of sides of the base n**

**Pyramid height h**

**Lateral surface area of a regular pyramid through apothem and perimeter**

**Base perimeter P**

**Apophema а (OS)**