1. 12.3 Notes: Surface Area of Cylinders, Cones and Pyramids
Date:
12.3 Notes: Surface Area of Cylinders, Cones and Pyramids
Lesson Objective: Find surface areas of cylinders, cones and pyramids.
CCSS: G.MG.3 Apply geometric methods to solve problems
You will need: calculator
This is Jeopardy!!!:
This is the surface
area.
Take attendance; go over Jeopardy question: 8 min.

2. Lateral Area, L: The area of one ∆ multiplied by the # of ∆s
Lesson 1: Pyramids
Lateral Area, L: The area of one ∆ multiplied by the # of ∆s
Base Area, B: The area of the polygon base; B = bh, ½ bh
Surface Area, S: S = L + B
Pull a stick to have someone read: 2 min.; total = 10

3. Find the lateral and sur­face areas.
Lesson 1: Pyramids
Find the lateral and sur­face areas.
Pull a stick to have someone read: 2 min.; total = 10

4. Find the lateral and sur­face areas.
Lesson 1: Pyramids
Find the lateral and sur­face areas. l 8
Pull a stick to have someone read: 2 min.; total = 10

5. l ² = 8² + 15² l ² = 289 Find the lateral and sur­face areas.
Lesson 1: Pyramids
Find the lateral and sur­face areas.
l ² = 8² + 15²
l ² = 289
l l = 17 8
Pull a stick to have someone read: 2 min.; total = 10

6. l ² = 8² + 15² l ² = 289 Find the lateral and sur­face areas.
Lesson 1: Pyramids
Find the lateral and sur­face areas.
l ² = 8² + 15²
l ² = 289
l l = 17 8
L = (½·16·17)·4 = 544
Pull a stick to have someone read: 2 min.; total = 10

7. l ² = 8² + 15² l ² = 289 Find the lateral and sur­face areas.
Lesson 1: Pyramids
Find the lateral and sur­face areas.
l ² = 8² + 15²
l ² = 289
l l = 17 8
L = (½·16·17)·4 = 544
B = 16·16 = 256
Pull a stick to have someone read: 2 min.; total = 10

8. l ² = 8² + 15² l ² = 289 Find the lateral and sur­face areas.
Lesson 1: Pyramids
Find the lateral and sur­face areas.
l ² = 8² + 15²
l ² = 289
l l = 17 8
L = (½·16·17)·4 = 544
B = 16·16 = 256
S = = 800 ft²
Pull a stick to have someone read: 2 min.; total = 10

9. Lateral Area: L = πrl, l = slant height Base Area: B = πr2
Lesson 2: Cones
Lateral Area: L = πrl, l = slant height
Base Area: B = πr2
Surface Area: S = L + B, or S = πrl + πr2
Pull a stick to have someone read: 2 min.; total = 10

10. Find the lateral and sur­face areas. Give answer in terms of π.
Lesson 2: Cones
Find the lateral and sur­face areas. Give answer in terms of π.
Pull a stick to have someone read: 2 min.; total = 10

11. Lesson 2: Cones
Find the lateral and sur­face areas. Give answer in terms of π.
l ² = 6² + 8²
l ² = 100
l = 10
Pull a stick to have someone read: 2 min.; total = 10

12. Lesson 2: Cones
Find the lateral and sur­face areas. Give answer in terms of π.
l ² = 6² + 8²
l ² = 100
l = 10
L = πrl = π·8·10
= 80π
Pull a stick to have someone read: 2 min.; total = 10

13. Lesson 2: Cones
Find the lateral and sur­face areas. Give answer in terms of π.
l ² = 6² + 8²
l ² = 100
l = 10
L = πrl = π·8·10
= 80π
B = π·8² = 64π
Pull a stick to have someone read: 2 min.; total = 10

14. Lesson 2: Cones
Find the lateral and sur­face areas. Give answer in terms of π.
l ² = 6² + 8²
l ² = 100
l = 10
L = πrl = π·8·10
= 80π
B = π·8² = 64π
S = 80π + 64π = 144π cm²
Pull a stick to have someone read: 2 min.; total = 10

15. Surface Area, S: S = L + 2B or S = 2πrh + 2πr2.
Lesson 3: Cylinders
Lateral Area, L: L = 2πrh
Base Area: B = πr2
Surface Area, S: S = L + 2B or S = 2πrh + 2πr2.
Pull a stick to have someone read: 2 min.; total = 10

16. Find the lateral and sur­face areas. Give answer in terms of π.
Lesson 3: Cylinders
Find the lateral and sur­face areas. Give answer in terms of π.
Pull a stick to have someone read: 2 min.; total = 10

17. Find the lateral and sur­face areas. Give answer in terms of π.
Lesson 3: Cylinders
Find the lateral and sur­face areas. Give answer in terms of π.
L = 2π·8·10
= 160π
Pull a stick to have someone read: 2 min.; total = 10

18. Find the lateral and sur­face areas. Give answer in terms of π.
Lesson 3: Cylinders
Find the lateral and sur­face areas. Give answer in terms of π.
L = 2π·8·10
= 160π
B = π·8² = 64π
Pull a stick to have someone read: 2 min.; total = 10

19. Find the lateral and sur­face areas. Give answer in terms of π.
Lesson 3: Cylinders
Find the lateral and sur­face areas. Give answer in terms of π.
L = 2π·8·10
= 160π
B = π·8² = 64π
S = 160π + 2·64π
= 160π + 128π
= 288π in²
Pull a stick to have someone read: 2 min.; total = 10

20. A right cone with diameter 18 cm and slant height 5 cm.
12.3: Do I Get It? Yes or No
Draw the figure. Find the lateral and surface area. Give circular answers in terms of π.
A right cone with diameter 18 cm and slant height 5 cm.
A cylinder with diameter 4 cm and height 6 cm.
A right square pyramid with base edge length 14 cm and slant height 25 cm.
Work on DIGI: 5 min.; total = 55 min

21. Lesson 2: The Green Bay Cheese Heads
Discuss “Cheeseheads”: 3 min.; total 40, 15 left

22. Lesson 2: The Green Bay Cheese Heads

23. Lesson 2: The Green Bay Cheese Heads

24. Lesson 2: The Green Bay Cheese Heads
Suppose you want to make your own Cheese-head. It will be an equilateral triangular prism with sides 2 feet and depth 8 inches. How much paper will you need to make a
Cheesehead?
SSR: 1 min., field answers on what needs to be done: 2 min; total = 43, 12 left

25. Lesson 2: The Green Bay Cheese Heads
Suppose you want to make your own Cheese-head. It will be an equilateral triangular prism with sides 2 feet and depth 8 inches. How much paper will you need to make a
Cheesehead?
Draw a diagram
with measures.
Calculate the
surface area.
Work on problem: 4 min.; go over answer: 3 min.; total 50