1. 9-4 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. Formulas You Need to Remember:
Area of a Triangle → A = bh ÷ 2
Area of Parallelogram → A =bh
Area of Trapezoid → A = h(b1 + b2) ÷ 2

5. Key Concept(s): Lateral Area and Surface Area of a Prism
Base Perimeter h
Lateral Area
Base Perimeter
Height
Base Area
Surface Area
Lateral Area
Area of the Base(s)

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

7. #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

8. Key Concept(s): Lateral Area and Surface Area of a Cylinder Base Area
Radius
Lateral Area
Radius
Height h
Surface Area
Lateral Area
Base Area

9. #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

10. #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

11. Example:
Find the surface area of a cylinder with radius 3 ft and height 6 ft.
S.A. = 2πrh + 2B
7 ft
5 ft

12. Example: Find the surface area of the triangular prism. S.A. = ph + 2B
10 cm
5 cm
4 cm
7 cm

13. Homework
Pre-AP
Textbook pg.491 #1-14 Evens