A plane that intersects all edges of a prism determines in it a region called the prism section.
Cross section is a region determined by the intersection of the prism with a plane parallel to the base planes (figure 1). All cross sections are congruent (Figure 2).
In a prism, we distinguish two types of surface: the faces and the bases. So we have to consider the following areas:
a) area of a face (THEF ): area of one of the parallelograms that make up the faces;
b) lateral area (THEL): sum of the areas of the parallelograms that form the faces of the prism.
In the regular light, we have:
THEL = n. THEF (n = number of sides of base polygon)
c) base area (THEB): area of one of the base polygons;
d) total area (THET): sum of the lateral area with the base area.
THET = AL + 2AB
Let's look at an example. Given a regular hexagonal prism of base edge The and side edge Hwe have: