Geometry 7­3 Surface Area Prisms.notebook

1

Title Page

Surface Area ­ Prisms • Students will use the net of a prism to determine formula for total and

lateral surface area of a prism.• Students will write, solve and model equations involving surface area of

rectangular and triangular prisms

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

1. Find the area

2. Find the area

3. Find the area

4. Find the area(Hint: use Pythagorean theoremto get missing side, then find area)

4 in

6 in

3 m

7 ft

6 ft

4 ft

13 yd

5 yd

answer

40o 50o60o 70o

Practice Answers

ANSWERS

1. a, c & e = 120ob, d, f & g = 60o

2. a = 135o, b = 15o3. 30o

4. x = 59°

5. n = 46°

6. t = 60°

7. w = 31°

8. x = 50°

9. x = 30°

10. 103°

11. 77°

12. 60°

Practice Answers

Maintain Your Skills1. a. y=­3x­3

b. y = 2/3x + 1 c. 14.95 + .13x = 43.95; x = 223

2. x = 23. x = 144. all real numbers

Practice Worksheet

Introduction

Each student receives a solid figure. Students with a curved figure stand by the windows.Students with a figure that has a polygon as a base (polyhedrons). What is the difference between a prism & pyramid?

Solid Figures

Math Humor

Math Humor

What happens to a mathematician who commits a

crime?

He goes to prism.

Geometry 7­3 Surface Area Prisms.notebook

2

Introduction

Shoe Box

How many sides are there?Which ones are congruent?

Cereal Box

How many sides are there?Which ones are congruent?

Activity

Build a rectangular prism using centimeter cubes. Top & Bottom views are 3x4Front & Back views are 2x4 Side views are 2x3

If each cube measures 1 cm by 1 cm, what is the surface area?

Activity

Labsheet

3.0

Cut and tape Labsheet in your journal

Milton’s Chocolate Factory is creating a new candy bar. They are considering a box in the shape of a rectangular prism for its packaging as shown.

S = Ph + 2B

Perimeter of Base height

Area of Base

1. Determine the surface area using a net.

2. Determine the surface area using the formula.

Perimeter of Base: _____________________Height of prism: _______________________Area of Base: _________________________TOTAL:

Area Top: ________________________Area Bottom: _____________________Area Side: ________________________Area Side: ________________________Area End: ________________________Area End: ________________________TOTAL:

Pull

Pull

Perimeter of Base = 2+ 3 + 2 +3 = 10height = 4Area Base = (2x3) = 6 x 2 = 12 TOTAL: (10 x 4) + 12= 52 units2

Area Top: 3 x 4 = 12Area Bottom: 3 x 4 = 12Area Side: 2 x 4 = 8Area Side: 2 x 4 = 8Area End: 2 x 3 = 6Area End: 2x 3 = 6TOTAL: 52 units2

Friend Transition

Find a friend and them how to find surface area.

Would You Rather?

Always have to say what you think...

or never speak again?

Notes

1. What is the surface area of a prism?

• sum of area of 2 bases and all faces

• answer in units squared

• lateral faces are parallelograms

Date_____ Surface Area Prisms

Geometry 7­3 Surface Area Prisms.notebook

3

Notes

2. How to find the surface area of prism?

• from a net ­ find area of all sides and add

• from the formula

5 x 8 = 405 x 8 = 405 x 17 = 855 x 17 = 858 x 17 = 1368 x 17 = 136Total 522 ft2

Rectangular

Triangular

Notes

• how total area changes

• square the amount of change

~each side doubled (22)surface area quadrupled

~each side tripled (32)surface area 9 times larger

3. What is changing dimensions?

Introduction

How many squares are in the rectangles and triangles?

Move to check your answer.

1 2 3

4 5 6

1 2 3

4 5 6

1 2 3

4 5 6

1

2

1

2

S ≈ 22

Homework

Find the differences

Surface Area of Prism Worksheet

Practice

Closing Questions

Closing QuestionsHow to find surface area?

What is the formula for area of a rectangle? triangle?

(add up area all sides)

(A = lw) (A = 1/2bh)