1. 6.2 – Surface Areas of Prisms and Cylinders

2. Definitions
Prisms
A polyhedron with 2 congruent, parallel bases.

3. Types of Prisms
Prisms are named for the shapes of their bases.

4. Definitions Lateral Faces Lateral Area Surface Area
The faces on the prism except for the parallel bases.
Lateral Area
The area of all of the rectangles on the outside of the prism.
LA = P x H (perimeter of base x height)
Surface Area
The lateral area plus the area of the 2 bases.
SA = LA + 2B (lateral area + area of both bases)

5. Example 1 Find the surface area of the prism. Lateral Area
Area of 3 rectangles
(3+4+5)6 = 72
Area of bases
each triangle
Total Surface Area
Area of 3 rectangles + 2 triangles
= 84

6. Example 2: Cylinder
Find the lateral area and surface area of a cylinder with a radius of 4in. and a height of 6in.
Lateral Area = Perimeter (circumference) times the height.
Surface Area = LA + 2B