Name: ______________________________

Date: January 20, 2017

Homeroom:

7th Grade Math:

Unit: Expressions and Equations

Packet 78: Surface Area of Rectangular Prisms

Objectives:

· Scholars will be able to draw nets to represent rectangular prisms.

· Scholars will be able to find the surface area of rectangular prisms.

Agenda:

1. Review Do Now

6. Multiple Choice Practice

2. Rectangular Prisms and Nets

7. Independent Practice

3. Surface Area

8. Exit Ticket

4. Finding Surface Area Using A Net

9. Homework Overview

5. Finding Surface Area Using a Formula

Homework 78: Surface Area of Rectangular Prisms

Do Now:

A window consists of a semicircle and a rectangle, as shown. What is the approximate area of the window? Use 3.14 for π.

Rectangular Prisms and Nets

A NET is

a two-dimensional pattern for a three-dimensional figure

Notes:

· A net of a rectangular prism has the same number of rectangles as the figure has _____________.

· The __________ and ______________ faces are congruent.

· The front and back faces are _____________.

· The ______________ faces are congruent.

Example #1: Labeling and Naming Nets

Solid Name: ________________________

Height: 3 cm

Width: 10 cm

Length: 4 cm

Solid Name: ________________________

Height: 3 in.

Width: 3 in.

Length: 3 in.

Surface Area

· What is surface area?

· List some situations that involve surface area:

Finding Surface Area Using a Net

Face of Prism

Formula

Area of Face

Top

Bottom

Front

Back

Side 1

Side 2

Surface Area : ___________________________________

Finding Surface Area Using a Formula

Formula for Surface Area of a Rectangular Prism:

Multiple Choice Practice

Example #2: Finding Surface Area Using a Formula

Find the surface area of the rectangular prism.

Example #3: Finding Surface Area of Real-Life Objects

Find the surface area of the tissue box.

2 inches

6 inches

10 inches

Multiple Choice Practice

1. Find the surface area of the rectangular prism.

22 m

4 m

3 m

A.

29 m2

B.

332 m2

C.

166 m2

D.

265 m2

2. Find the surface area of a rectangular prism with a base of 10 inches, a height of 11 inches, and a width of 5 inches.

A.

215 square inches

B.

26 square inches

C.

550 square inches

D.

430 square inches

Independent Practice

1. You won a free trip to the Super Bowl because you won a math competition! You decide to make a stadium cushion so you’ll be more comfortable at the game. The foam for the cushion costs $1.50, and the fabric costs $0.50 per square foot. How much does it cost to make the cushion?

3 ft

3 ft

1 ft

Step #1: Find the surface area.

Step #2: Find the fabric cost.

Step #3: Find the cost of the fabric and foam combined.

2. The length of each edge of a photo cube is 4 inches (assume that there are photos on all faces of the photo cube.) What is the surface area of this photo cube?

Find the surface area of each of the following rectangular prisms. Show all of your work and circle your final answer. Do not forget to include your units!

Practice beyond Perfection-Turn in for Dollars!

Name: ______________________________

Date: January 20, 2017

Homeroom:

Ms. Petrozzi: (614) 725-9693

7th Grade Math:

Unit: Expressions and Equations

Packet 78: Surface Area of Rectangular Prisms

Redo:

Score: ________/5 _________% DNG

A B C D F

Directions: Answer the following questions. Show all of your work and circle your final answer. Make sure you include units!

You are building a storage box out of plywood using the dimensions shown. Plywood costs $1.50 per square foot. Find the total cost of the plywood.

1. Find the surface area of the box.

The surface area is ____________________________ ft2.

2. Find the total cost of the plywood.

Total cost: $____________________

3. A cubic package has side lengths of 2 feet. What is the least amount of wrapping paper needed to wrap the package?

A.

8 feet2

B.

16 feet2

C.

24 feet2

D.

48 feet2

4. Using the net on the right, find the surface area of this figure. Do not forget your units!

5. Find the surface area of the following rectangular prism. Draw a net of the figure.

Net:

Name: ______________________________

Date: January 20, 2017

Homeroom:

7th Grade Math:

Unit: Expressions and Equations

Packet 78: Surface Area of Rectangular Prisms

Directions: Answer the following questions. Circle your final answers. When you finish the exit ticket, place it face down on your desk and assign yourself to your advanced work or an independent reading book.

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