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Prism Section and Areas


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).

Areas

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:


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