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1) What is an equivalent expression for 3 + 6y + 8 + 2y?

a) 8y + 11b) 8y2 + 11c) 9y + 10 d) 19y2

April 7, MondayDay E

April 7, MondayDay E

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› Activator› Expectations› Finding the surface area of

rectangular prisms.› Ticket to Go

Expectations1) Listen and follow directions.2) Raise your hand before speaking or

leaving your seat.3) Keep your hands and your feet to

yourself.4) Respect your classmates and your

teacher.

We will find the surface area of rectangular

prisms.

6.G.4

For Valentine’s Day

would like to pick up this building,…

wrap it,…

and give it to Mrs. Godzilla.

, Godzilla…

5

Godzilla’s Problem

Wrapping paper is expensive! I want to use as little as possible. How could I calculate how much wrapping paper I would need to exactly cover the building without any paper overlapping?

The exact amount of paper needed to cover a rectangular prism (or box) is called the Surface Area.

FrontSide

Top

Review: Finding Surface Area

We can unfold the prism into a net to help us find its surface area.

Front

Top

SideSide

Bottom

Back

Finding surface area without a net….

4 cm2 cm

3 cm

Front

Back

Side 1

Side 2

Top

Bottom

Take a couple minutes to see how many faces you can find the area of. If you can, also try to find the total surface area.

How do we find the surface area of this rectangular prism?

4 cm2 cm

3 cm

Surface area of the rectangular prism

4 cm2 cm

3 cmFront

Side

Top

Front = 4 cm x 3 cm = 12 cm2

= 4 cm x 3 cm = 12 cm2

= 2 cm x 3 cm = 6 cm2

= 2 cm x 3 cm = 6 cm2

= 4 cm x 2 cm = 8 cm2

= 4 cm x 2 cm = 8 cm2

52 cm2

+

3 34

422

BackSide 2

Bottom

Back

Side 1

Side 2Top

Bottom

Front

Top

SideSide

Bottom

Back

Remember:

Class Work: finding the surface area of rectangular prisms

6.G.4

If you finish early, try to think of a formula to find

the surface area of a rectangular prism.

Classwork Answers

1a. SA = 132 in2

1b. SA = 712 m2

1c. SA = 2998 ft2

Problem # 1a

12 x 2 = 24 in2 12 x 2 = 24 in2

3 x 12 = 36 in2

3 x 12 = 36 in2

3 x 2 = 6 in2

3 x 2 = 6 in2

Surface Area = 132 in2

Problem # 1b

8 x 6 = 48 m2 8 x 6 = 48 m2

8 x 22 = 176 m2

8 x 22 = 176 m2

6 x 22 = 132 m2

6 x 22 = 132 m2

Surface Area = 712 m2

Problem # 1c

29 x 16 = 464 ft2 29 x 16 = 464 ft2

29 x 23 = 667 ft2

29 x 23 = 667 ft2

16 x 23 = 368 ft2

16 x 23 = 368 ft2

Surface Area = 2998 ft2

29 ft.

Wrapping paper is expensive! I want to use as little as possible. How much wrapping paper would I need to exactly cover the building without any paper overlapping?

40 ft80 ft

200 ftFront

Side

Top

That’s a lot of paper! Thanks Honey!

Front

Back

Side 1

Side 2

Top

Bottom

= 80 ft x 200 ft = 16,000 ft2

= 80 ft x 200 ft = 16,000 ft2

= 40 ft x 200 ft = 8,000 ft2

= 40 ft x 200 ft = 8,000 ft2

= 40 ft x 80 ft = 3,200 ft2

= 40 ft x 80 ft = 3,200 ft2

54,400 ft2

Homework: Determining Surface Area of Three-Dimensional

Figures

Ticket To Go

Write down one of Mrs. Kerrebrock’s expectations.