1. Find the lateral and total surface areas of prisms and cylinders.
lateral face
lateral surface area
total surface area
Main Idea/Vocabulary

2. Interactive Lab: Surface Area of PrismsKC

3. Surface Areas of a Prism
Find the lateral and total surface area of the rectangular prism.
Perimeter of Base
Area of Base
P = 2ℓ + 2w
B = ℓw
P = 2(15) + 2(9) or 48
B = 15(9) or 135
Example 1

4. Surface Areas of a Prism
Use this information to find the lateral and total surface area.
Lateral Surface Area
Total Surface Area
L = Ph
S = L + 2B
L = 48(7) or 336
S = (135) or 606
Answer: The lateral surface area is 336 square millimeters, and the total surface area is 606 square millimeters.
Example 1

5. Find the total surface area of the rectangular prism.
A. 112 cm2
B. 126 cm2
C. 130 cm2
D. 142 cm2 A B C D
Example 1

6. Surface Areas of a Prism
CAMPING A family wants to reinforce the fabric of its tent with a waterproofing treatment. Find the total surface area, including the floor, of the tent below.
A triangular prism consists of two congruent triangular faces and three rectangular faces.
Example 2

7. Surface Areas of a Prism
Draw and label a net of this prism. Find the area of each face.
bottom
5 ● 5.8 = 29
left side
6.3 ● 5.8 = 36.54
right side
6.3 ● 5.8 = 36.54
two bases
Add to find the total surface area. =
Answer: The surface area of the tent is about square feet.
Example 2

8. DECORATING Julia is painting triangular prisms to use as decoration in her garden. Find the surface area of the prism.
A in2
B in2
C in2
D in2 A B C D
Example 2

9. KC

10. Surface Areas of Cylinders
Find the lateral area and the surface area of the cylinder. Round to the nearest tenth.
Lateral Surface Area
Total Surface Area
L = 2πrh
L = 2π(2.5)(2)
S = L + 2πr2
S = π(2.5)2
Answer: The lateral surface area is about 31.4 square meters, and the total surface area is about 70.7 square meters.
Example 3

11. Find the total surface area of the cylinder. Round to the nearest tenth.
A mm2
B mm2
C mm2
D mm2 A B C D
Example 3

12. Surface Areas of Cylinders
LABELS Find the area of the label on the can of juice. Round to the nearest tenth.
Since the label covers the lateral surface of the can, you only need to find the can’s lateral surface area.
Example 4

13. Surface Areas of Cylinders
Estimate
L = 2πrh Lateral surface area of a cylinder
L = 2π(2.25)(8) r = 2.25, h = 8
113.1
Simplify.
Answer: The area of the label is about square inches.
Example 4

14. LABELS Find the area of the label on the can of juice
LABELS Find the area of the label on the can of juice. Round to the nearest tenth.
A in2
B in2
C in2
D in2 A B C D
Example 4

15. (over Lesson 7-6)
Find the volume of the given solid. Round to the nearest tenth if necessary.
A. 15 m3
B. 20 m3
C. 40 m3
D. 60 m3 A B C D
Five Minute Check 1

16. (over Lesson 7-6)
Find the volume of the given solid. Round to the nearest tenth if necessary.
A. 1,026.3 ft3
B. 1,539.1 ft3
C. 2,931.6 ft3
D. 3,078.2 ft3 A B C D
Five Minute Check 2

17. (over Lesson 7-6)
Find the volume of the given solid. Round to the nearest tenth if necessary.
A. 35 cm3
B. 50 cm3
C. 70 cm3
D. 105 cm3 A B C D
Five Minute Check 3

18. (over Lesson 7-6)
Find the volume of a triangular pyramid if the triangle base has base 6.5 yd and height 2.25 yd, and the prism height is 5.75 yd. Round to the nearest tenth if necessary.
A yd3
B yd3
C yd3
D yd3 A B C D
Five Minute Check 4

19. (over Lesson 7-6)
Ricky bought a box of ice cream cones. Ricky wants to know how much ice cream each cone can hold. If each cone has a diameter of 3 inches and a height of 5 inches, what is the approximate volume of each cone?
A. 7.9 in3
B in3
C in3
D in3 A B C D
Five Minute Check 5

20. End of Custom Shows