1. Surface area of prisms, cylinders, cones, and pyramids
Chapter 12.2 and 12.3
Surface area of prisms, cylinders, cones, and pyramids

2. Lateral Area Faces that are not bases are called lateral faces.
Lateral faces intersect at lateral edges.
The lateral area (L) of a prism is the sum of the area of the lateral faces.

3. Example 1 Find the lateral area of the regular hexagonal prism.
Lateral Area of a Prism
Example 1
Find the lateral area of the regular hexagonal prism.

4. Example 1 Find the lateral area of the regular octagonal prism.
A. 162 cm2
B. 216 cm2
C. 324 cm2
D. 432 cm2

5. Surface Area
Surface area of a prism is the sum of the lateral area and the areas of the bases.

6. Example 2 Find the surface area of the rectangular prism.
Surface Area of a Prism
Example 2
Find the surface area of the rectangular prism.

7. Example 2 Find the surface area of the triangular prism. A. 320 units2
B. 512 units2
C. 368 units2
D. 416 units2

8. Lateral Area and Surface Area of a Cylinder
Example 3
Find the lateral area and the surface area of the cylinder. Round to the nearest tenth.

9. Example 3
Find the lateral area and the surface area of the cylinder. Round to the nearest tenth.
A. lateral area ≈ 1508 ft2 and surface area ≈ ft2
B. lateral area ≈ 1508 ft2 and surface area ≈ ft2
C. lateral area ≈ 754 ft2 and surface area ≈ ft2
D. lateral area ≈ 754 ft2 and surface area ≈ ft2

10. Find Missing Dimensions
Example 4
MANUFACTURING A soup can is covered with the label shown. What is the radius of the soup can?

11. Example 4
Find the diameter of a base of a cylinder if the surface area is 480 square inches and the height is 8 inches.
A. 12 inches
B. 16 inches
C. 18 inches
D. 24 inches

12. Example 1 Find the lateral area of the square pyramid.
Lateral Area of a Regular Pyramid
Example 1
Find the lateral area of the square pyramid.
Answer: The lateral area is 25 square centimeters.

13. Example 1 Find the lateral area of the square pyramid. A. 54 in2
B. 64 in2
C. 108 in2
D. 132 in2

14. Surface Area of a Square Pyramid
Example 2
Find the surface area of the square pyramid to the nearest tenth.

15. Example 2
Find the surface area of the square pyramid to the nearest tenth.
A. 96 in2
B in2
C in2
D. 156 in2

16. Surface Area of a Regular Pyramid
Example 3
Find the surface area of the regular pyramid. Round to the nearest tenth.

17. Example 3
Find the surface area of the regular pyramid. Round to the nearest tenth.
A. 198 in2
B in2
C in2
D in2

18. Concept

19. Lateral Area of a Cone
Example 4
ICE CREAM A sugar cone has an altitude of 8 inches and a diameter of inches. Find the lateral area of the sugar cone.

20. Example 4
HATS A conical birthday hat has an altitude of 6 inches and a diameter of 4 inches. Find the lateral area of the birthday hat.
A in.2
B in.2
C in.2
D in.2

21. Example 5
Find the surface area of the cone. Round to the nearest tenth.
A cm2
B cm2
C cm2
D cm2