1. Chapter 11: Surface Area and Volume Section 11-2: Surface Areas of Prisms and Cylinders

2. Objective: To calculate the surface area of prisms and cylinders.

3. Prism A prism is a polyhedron with exactly two congruent, parallel faces called bases. Other faces are called lateral faces. You name a prism by the shape of its bases. An altitude of a prism is a perpendicular segment that joins the planes of its bases—the length of the altitude is called the height.

4. Right and Oblique Prisms

5. Lateral and Surface Area The lateral area of a prism is the sum of the areas of the lateral faces. The surface area is the sum of the lateral area and the area of both bases.

6. Theorem 11-1: Lateral and Surface Areas of a Prism Lateral Area-the lateral area of a right prism is the product of the perimeter of the base and the height. Surface Area- the lateral area plus the areas of the two bases.

7. Example Find the lateral area. Find the surface area

8. Cylinder A cylinder, like a prism, has two congruent parallel bases. However, the bases of a cylinder are circles. An altitude of a cylinder is a perpendicular segment that joins the planes of the bases. The height of a cylinder is the length of the altitude.

9. Theorem 11-2: Lateral and Surface Areas of a Cylinder

10. Example Find the lateral area. Find the surface area.