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Surface Areas of Prisms - Lesson 12-1

Today we began to discuss Surface Area. In order to do this, we started by discussing polyhedra:

Polyhedra Definition

We then noted that polyhedra are classified by the number of faces. For instance, a 4-faced polyhedrdon is called a tetrahedron:


A 6-faced polyhedron is called a hexahedron:


A 7-faced polyhedron is called a heptahedron:


And a 10-faced polyhedron is called a decahedron:


We then defined a regular polyhedron and showed an example regular dodecahedron:

Definition of a Regular Polyhedron

At this point, we defined a prism and learned what the lateral surface area and the total surface area of these polyhedra were:

Prisms and Surface Area

Finally, we defined right prism, oblique prism, and altitude of a prism:

Right and Oblique Prisms

At this point, we went through the following examples. First we looked at finding the total surface area of a right rectangular prism:

Example Problem

We then looked at this problem - find the total surface area of the right pentagonal prism shown below:

Example Problem 2 - Question

In order to solve this problem, we looked at the bases and the lateral faces:

Example 2 - First Step

These are shapes we know, so we found their area and added them together to get the answer:

Example 2 - Step 2

Other Links
Class Notes
Lesson 12-1
Lesson 12-2
Lesson 12-3
Quiz Topics
Lesson 12-4
Lesson 12-5
Lesson 12-6
Test Topics
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