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Surface Area. Return to table of contents. Surface Area of Prisms. Return to table of contents. Surface Area The sum of the areas of all outside surfaces of a 3-D figure. To find surface area, you must find the area of each surface of the figure then add them together.

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slide1

Surface Area

Return to table

of contents

slide2

Surface Area of Prisms

Return to table

of contents

slide3

Surface Area

The sum of the areas of all outside surfaces of a 3-D figure.

To find surface area, you must find the area of each surface of the figure then add them together.

What type of figure is pictured?

How many surfaces are there?

How do you find the area of each surface?

6 in

3 in

8 in

slide4

Surface Area

6 in

3 in

8 in

BottomTopLeftRightFrontBack SUM

8 8 6 6 8 8

x 3x 3 x 3 x 3x 6x 6

24 24 18 18 48 48 180 in2

6 in

6 in

6 in

3 in

3 in

8 in

3 in

8 in

8 in

slide5

Arrangement of Unit Cubes

Find all the possible ways that 24 unit cubes can be arranged into a rectangular prism. Give each arrangements dimensions and surface area. Also make a sketch.

slide7

Arrangement of Unit Cubes

Find all the possible ways that 64 unit cubes can be arranged into a rectangular prism. Give each arrangements dimensions and surface area. Also make a sketch.

slide9

29

Which arrangement of 27 cubes has the least surface area?

A

1 x 1 x 27

B

3 x 3 x 3

C

9 x 3 x 1

slide10

30

Which arrangement of 12 cubes has the least surface area?

A

2 x 2 x 3

B

4 x 3 x 1

C

2 x 6 x 1

D

1 x 1 x 12

slide11

31

Which arrangement of 25 cubes has the greatest surface area?

A

1 x 1 x 25

B

1 x 5 x 5

slide12

32

Which arrangement of 48 cubes has the least surface area?

A

4 x 12 x 1

B

2 x 2 x 12

C

1 x 1 x 48

D

3 x 8 x 2

E

1 x 2 x 24

F

4 x 3 x 4

slide13

Find the surface area of a rectangular shoe box that has a length of 12 inches, a width of 6 inches and a height of 5 inches.

click to reveal

click to reveal

click to reveal

click to reveal

5 in

Top/BottomFront/BackLeft/RightSurface Area

12 12 6 144

x 6 x 5 x 5 120

72 60 30 + 60

x 2 x 2 x 2 324 in2

144 120 60

6 in

12 in

slide14

Name the figure.

Find the figure's surface area.

7 m

3 m

5 m

slide15

33

How many faces does the figure have?

6 m

2 m

4 m

slide16

34

How many area problems must you complete when finding the surface area?

6 m

2 m

4 m

slide17

35

What is the area of the top or bottom face?

6 m

2 m

4 m

slide18

36

What is the area of the left or right face?

6 m

2 m

4 m

slide19

37

What is the area of the front or back face?

6 m

2 m

4 m

slide20

38

What is the surface area of the figure?

6 m

2 m

4 m

slide21

Find the Surface Area.

1. Draw and label ALL faces

2. Find the correct dimensions for each face

3. Calculate the AREA of EACH face

4. Find the SUM of ALL faces

5. Label Answer

5 yd

go on to see steps

5 yd

4 yd

9 yd

6 yd

slide22

5 yd

5 yd

5 yd

5 yd

4 yd

9 yd

4 yd

9 yd

TrianglesBottom Rectangle

4 9

x 6 x 6

24 / 2 = 12 54

x 2

24

6 yd

6 yd

CLICK TO REVEAL

CLICK TO REVEAL

Total

Surface

Area

24

54

+ 90

168 yd2

Left/Right Rectangles

(Same size since isosceles)

5

x 9

45

x 2

90

5 yd

CLICK TO REVEAL

5 yd

4 yd

CLICK TO REVEAL

9 yd

6 yd

slide23

Find the Surface Area.

1. Draw and label ALL faces

2. Find the correct dimensions for each face

3. Calculate the AREA of EACH face

4. Find the SUM of ALL faces

5. Label Answer

9 cm

TRY THIS ONE

9 cm

6 cm

11 cm

9 cm

slide24

9 cm

9 cm

9 cm

9 cm

6 cm

6 cm

11 cm

11 cm

9 cm

9 cm

TrianglesRectangles

Click on box to

reveal steps.

slide25

39

Find the surface area of the shape below.

1. Draw and label ALL faces

2. Find the correct dimensions for each face

3. Calculate the AREA of EACH face

4. Find the SUM of ALL faces

5. Label Answer

47 ft

50 ft

21 ft

42 ft

slide26

Find the Surface Area.

7 cm

3 cm

4 cm

15 cm

5 cm

6 cm

slide27

7 cm

3 cm

4 cm

15 cm

5 cm

Top Rectangle

10

x 15

150

Side Rectangles

5

x 15

75

x 2

150

Bottom Rectangle

6

x 15

90

Trapezoids

10

+ 6

16

x 4

64 / 2 = 32

x 2

64

6 cm

Surface Area

64

90

150

+ 150

454 cm2

click to reveal

click to reveal

click to reveal

click to reveal

click to reveal

slide28

40

Find the surface area of the shape below.

slide29

41

Find the surface area of the shape below.

2 cm

10 cm

6 cm

6 cm

10 cm