FILLING & WRAPPING 1.4- Scaling Up Prisms

Learning Target:

I will analyze the impact of scale factor on surface area and volume.

HW: Do FW Inv. 1 packet

Pg. 10

and

CORRECT online **QUIZ TOMORROW!** *WDYE Retake TOMORROW, 3/24, in Math Lab Warm-up: b. Other soda can boxes are packaged 4 x 3 x 1.

Which of the two boxes would have the smallest surface area?

Solve for Surface Area

The following polyhedron is a

cube

.

Front = 12 x 12 = 144 SA= 144

x

6

=

864 square feet

Why

can I solve it this way?

?

12 feet

What are the two key words that explain what you will explore today?

SCALE FACTOR

75% copy

The

length

and

perimeter small figure

are

0.75

(or

75%

of the )

times as long

as the lengths of the original figure.

150% copy

The

length

and

perimeter

of the

large figure

are

1.5 times (or 150%)

as large as the lengths of the original figure.

Calculate the Surface Area and the Volume of a 1 x 1 x 1 rectangular prism.

SA = 6 sq. in.

Vol = 1 cubic in.

• •

What happens when you double What is the SA ?

SA = 10 sq. in.

What is the Volume ?

the length

(only)

? (1 dimension) Vol = 2 cubic in.

2 x 1 x 1

• •

What happens when you double the length AND the width ?

(2 dimensions)

What is the SA ?

SA = 16 sq. in.

What is the Volume ?

Vol = 4 cubic in.

2 x 2 x 1 What happens when you double the length , the width ,

• •

AND the height What is the ? (3 dimensions) SA ?

SA = 24 sq. in.

What is the Volume ?

Vol = 8 cubic in.

2 x 2 x 2

•

What happens to the SA … when you apply a scale factor of 2 ?

 

All 3 dimensions are multiplied by 2.

1 x 1 x 1 2 x 2 x 2 What is the relationship between the original SA and



the new SA ?

What is the relationship between the scale factor and how many times larger the SA is ?

•

What happens to the Volume … when you apply a scale factor of 2 ?



All 3 dimensions are multiplied by 2.



What is the relationship between the original



Vol . and the new Vol .?

What is the relationship between the scale factor and how many times larger the Vol. is ?

Together as a class… Double any ONE of the dimensions – length, width or height Triple any ONE of the dimensions – length, width or height Halving any ONE of the dimensions – length, width or height

V = 4 x 8 x 12 = 384 cubic in. (V x 2 x 2 x 2) (V x 1.5 x 1.5 x 1.5) (V x 0.5 x 0.5 x 0.5) You can find these answers by multiplying the original box volume by the

f

3

FILLING & WRAPPING 1.4- Scaling Up Prisms

Did I reach my Learning Target?

I will analyze the impact of scale factor on surface area and volume.

HW: Do FW Investigation 1 packet

Pg. 10

Zelda Puzzle and

CORRECT online **QUIZ TOMORROW!** *WDYE Retake TOMORROW, 3/24, in Math Lab