Geometry 7-4 Surface Area Cylinders.notebook

[Pages:3]Geometry 74 Surface Area Cylinders.notebook

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.

TEKs

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

Geometry

Find the surface area of the prism.

1.

2.

7 m

4 3. in

4 m 6 m

Identify the pair of angles.

3.

x

4.

x

y

4.

y

The surface area of a rectangular prism

is 25 ft2. If each side is tripled, what is

the new area?

70o

35o

25

225

75o

90o 50

75

Title Page

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.2 5. 158 in2

6. 340 in2

7. 48 cm2

8. 88 in.2

9. 152 in2 10. 4 cubes 11. 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.

Practice Answers

Maintain Your Skills 1. A 2. D

WarmUp

answer

1. 96 units2 2. 188 units2 3. 158 in 2 4. C

Homework Answers

Math Humor

What is the best dessert in the Math Teacher's Cafe?

A slice of cherry pi.

Math Humor

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?

Introduction

1

Geometry 74 Surface Area Cylinders.notebook

How many squares are in the rectangle and 2 circles? Move to check your answer.

12 34

1 8 15 29

2

9

16

3 10 17

4 11

18

5 12 19 6 13 20 7 14 21

12 34

Cut and tape Labsheet in your journal

3.0

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 (r2): ________________ Area Bottom Circle (r2): ________________

Circumference (2r): ________ Area Lateral (C)(h): __________________ TOTAL (Add Areas):

2. Determine the surface area using the formula. Radius: _____________________ Height of prism: ______________ TOTAL:

S = 2rh + 2r2

Radius height

Radius

Introduction

Labsheet

Pull

Area Top Circle (r2) Area Bottom Circle ( Circumference (2r): Area Lateral (C)(h): 9 TOTAL: 108.33 c

Find a friend and them how to find the difference between a

prism and a cylinder.

Only be able to whisper...

or only be able to shout?

Friend Transition

Would You Rather?

_____ Date

Surface Area Cylinders

1. What is the ? sum of area of 2 circular surface area bases & lateral surface of a cylinder? ? answer in units squared

lateral surface

2. How to find ? from a net find area of

the surface

all sides and add

area of a cylinder?

? from the formula

S = 2rh + 2r2

Radius height

Radius

3 m 5 m

2( x 3 x 3) + (6 x x 5) = 18 + 30 = 48 = 56.52 + 94.2 = 150.72 m2

Notes

Notes

2

Geometry 74 Surface Area Cylinders.notebook

3. What is

? how total area changes

changing dimensions? ? radius has bigger impact

than height

S = 2rh + 2r2

doubles doubles

quadruples

4 in

2 in

3 in

9 in

Pull

Notes

Application

d = 3 in area circumference

area circumference

d = 2 ft area

circumference

r = 3 m

d = 1yd

r = 1 cm area

circumference

area circumference

Activity

How many faces?

Practice Surface Area of Cylinders Worksheet

Homework

Closing Questions

What is the formula for area of a circle?

(A = r2)

What is the lateral surface ?

(Circumference x height)

Closing Questions

3

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download