1. 10-3 Surface Areas of Prisms and Cylinders
Objective – Find the surface area of prisms and cylinders.

2. CA Geometry Standard 9.0
Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.

3. Types of Prisms Lateral Edges Lateral Faces Bases Bases
Triangular Prism
Pentagonal Prism h h
Right Prism
Oblique Prism

4. Theorem 10-1 Lateral Area and Surface Area of a Prism Base Perimeter h
Height
Base Area
Surface Area
Lateral Area
Base Area

5. #1 Finding the Surface Area of a Prism
Find the surface area of the regular hexagonal prism.
P = 36
12 m
6 m

6. #2 Finding the Surface Area of a Prism
Find the surface area of the triangular prism.
12 cm
5 cm
6 cm
P = 16
5 cm
5 cm h
3 cm

7. Theorem 10-2 Lateral Area and Surface Area of a Cylinder Base Area
Radius
Lateral Area
Radius
Height h
Surface Area
Lateral Area
Base Area

8. #3 Finding the Surface Area of a Cylinder
Find the surface area of a cylinder with height 10 cm and radius 5 cm in terms of pi.
5 cm
10 cm

9. #4 Finding the Surface Area of a Cylinder
Find the surface area of a cylinder with radius 6 ft and height 9 ft in terms of pi.
9 ft
6 ft