1. 8.2 Surface Area Objectives:
To find the lateral area and surface area of a right prism.
To find the lateral area and surface area of a cylinder.
To find the lateral area and surface area of a regular pyramid.
To find the lateral area and surface area of a right circular cone.
To find the surface area of a sphere.

2. Vocabulary
Two faces, called bases, are formed by congruent polygons that lie in parallel planes.

3. Vocabulary
The lateral faces, the faces that are not bases, are formed by parallelograms.

4. Vocabulary
The intersection of two adjacent lateral faces are called lateral edges and are parallel segments.

5. Vocabulary
A segment perpendicular to the planes containing the two bases, with an endpoint in each plane, is called an altitude. It is also called the height.

6. Vocabulary
A prism whose lateral edges are also altitudes is called a right prism. If a prism is not right, then it is an oblique prism.

7. Vocabulary
The area of all the lateral faces of a prism is called the lateral area L.

8. Lateral Area of a Right Prism
If a right prism has a lateral area of LA square units, a height of h units, and each base has a perimeter of P units, then LA = Ph.

9. Surface Area of a Right Prism
If the total surface area of a right prism is T square units, its height is h units, and each base has an area of B square units, and a perimeter of P units, then T = Ph + 2B.

10. Lateral Area of a Right Cylinder
If a right cylinder has a lateral area of L square units, a height of h units, and the bases have radii of r units, then L = 2πrh.

11. Surface Area of a Right Cylinder
a total surface area of T square units, a height of h units, and the bases have radii of r units, then T = 2πrh + 2πr2

12. Vocabulary
All the faces except the base intersect at a point called the vertex (also known as the apex).
vertex (apex)

13. Vocabulary
If the base of a pyramid is a regular polygon and the vertex is directly over the center of the base then it is called a regular pyramid. All the lateral faces are congruent in a regular pyramid.
vertex

14. Vocabulary The height of each lateral face is called the slant height.
vertex

15. Lateral Area of a Regular Pyramid
If a regular pyramid has a lateral area of LA square units, a slant height of l units, and its base has a perimeter of P units, then

16. Surface Area of a Regular Pyramid
If a regular pyramid has a surface area of SA square units, a slant height of l units, and its base has a perimeter of P units and an area of B square units, then

17. Vocabulary
The axis of a cone is a segment from the vertex to the center of the circular base.

18. Lateral Area and Surface Area of a Right Circular Cone
If a right circular cone has a lateral area of LA square units, a surface area of SA square units, a slant height of l units, and the radius of the base is r units, then

19. Surface Area of a Sphere
If a sphere has a surface area of T square units and a radius of r units, then

20. In-Class Examples

21. Homework
8.2 Worksheet