A pyramid is a geometric body that has a polygon as its base and a vertex. Each vertex of the base is connected to the vertex to form edges. The side area of a pyramid is calculated by summing the areas of all triangular side faces.

The formula for the lateral area of a pyramid is: S_lateral = S1 + S2 + … + Sn, where S_lateral is the lateral area, and S1, S2, …, Sn are the areas of each lateral face.

Assuming that a hexagonal pyramid is an irregular pyramid, the areas of its six triangular faces are 12.5cm^2, 13.2cm^2, 14.1cm^2, 15.2cm^2, 16.5cm^2, and 17.9cm^2.

If we add up the areas of these six triangular side faces, we get the total side area S, which is S = 12.5cm^2 + 13.2cm^2 + 14.1cm^2 + 15.2cm^2 + 16.5cm^2 + 17.9cm^2. After simplification we get S = 89.4cm^2.

Therefore, the lateral area of this hexagonal pyramid is: S_lateral = S1 + S2 + S3 + S4 + S5 + S6 = 89.4 square centimeters.

Recommended reading includes “The Lateral Area Formula of a Regular Pyramid”, “The Lateral Area Formula of a Pyramid”, “The Lateral Area Formula of a Rectangular Prism”, and “The Lateral Area Formula of a Regular Pyramid Frustum”.