Geometry 74 Surface Area Cylinders.notebook
1
Title Page
Surface Area Cylinder • Students will use the net of a cylinder to determine formulas for total
and lateral surface of a cylinder.• Students will write, solve and model equations involving surface
area of a cylinder.
8.7B Use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders
TEKs
WarmUp
Geometry
75o70o 35o
90o
Identify the pair of angles.3. x
y
4. xy
Find the surface area of the prism.1. 2.
3.
4.The surface area of a rectangular prism is 25 ft2. If each side is tripled, what is the new area?
4 m
6 m
7 m
4 in
25 22550 75
answer
1. 96 units2 2. 188 units2 3. 158 in 2
4. C
Homework Answers
1. A = 8 • 5 = 40 in.2; 2 • 8 • 5 = 80 in.2
2. A = 5 • 3 = 15 in.2; 2 • 5 • 3 = 30 in.2
3. A = 8 • 3 = 24 in.2; 2 • 8 • 3 = 48 in.2
4. S = 80 + 30 + 48 = 158 in.2; 158 in.25. 158 in2
6. 340 in2
7. 48 cm2
8. 88 in.2
9. 152 in2 10. 4 cubes11. The surface area will be 4 times as great. Sample answer: Since you are finding area and you multiply each dimension by 2, the area will be multiplied by 2 × 2, or 4.
Maintain Your Skills
1. A2. D
Practice Answers
Math Humor
What is the best dessert in the Math Teacher's Cafe?
A slice of cherry pi.
Math Humor
Introduction
How many bases? How many lateral surfaces?
What is the word that describes how much the can holds? What is the word that describes the paper label?
Geometry 74 Surface Area Cylinders.notebook
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Introduction
How many squares are in the rectangle and 2 circles?
Move to check your answer.
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3 4
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Labsheet
3.0
Cut and tape Labsheet in your journal
S = 2 rh + 2 r2Radius height
π πRadius
2. Determine the surface area using the formula.
Milton’s Chocolate Factory is creating a new package for their chocolate candies. They are considering a cylinder as shown.
1. Determine the surface area using the net.
Area Top Circle (πr2): ________________Area Bottom Circle (πr2): ________________ Circumference (2rπ): ________Area Lateral (C)(h): __________________TOTAL (Add Areas):
Radius: _____________________Height of prism: ______________TOTAL:
Pull
Pull
Area Top Circle (πr2): 3.14 x 1.52 = 7.065Area Bottom Circle (πr2): 3.14 x 1.52 = 7.065Circumference (2rπ): 2 x 1.5 x 3.14 = 9.42Area Lateral (C)(h): 9.42 x 10 = 94.2TOTAL: 108.33 cm2
Friend Transition
Find a friend and them how to find the difference between a
prism and a cylinder.
Would You Rather?
or only be able to shout?
Only be able to whisper...
Notes
_____ Surface Area Cylinders Date
1. What is the surface area of a cylinder?
• sum of area of 2 circularbases & lateral surface
• answer in units squared
lateral surface
Notes
2. How to find the surface area of a cylinder?
3 m
5 m
2(π x 3 x 3) + (6 x π x 5)= 18π + 30π = 48π= 56.52 + 94.2= 150.72 m2
S = 2 rh + 2 r2Radius height
π πRadius
• from a net find area of all sides and add
• from the formula
Geometry 74 Surface Area Cylinders.notebook
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Notes
3. What is changing dimensions?
• how total area changes
• radius has bigger impact than height
9 in
4 in
3 in
2 in
S = 2 rh + 2 r2doubles doubles
π πquadruples
Application
Pull
Pull
Activity
r = 1 cm
circumference
area
d = 1yd
circumference
area
r = 3 m
circumference
area
d = 3 in
area
circumference
d = 2 ft
circumference
area
Homework
Practice
Surface Area of Cylinders Worksheet
How many faces?How many faces?
Closing Questions
Closing Questions
What is the lateral surface?
What is the formula for area of a circle?
(A = πr2)
(Circumference x height)