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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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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.

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


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


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.



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.



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


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


31

Which arrangement of 25 cubes has the greatest surface area?

A

1 x 1 x 25

B

1 x 5 x 5


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


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


Name the figure. length of 12 inches, a width of 6 inches and a height of 5 inches.

Find the figure's surface area.

7 m

3 m

5 m


33 length of 12 inches, a width of 6 inches and a height of 5 inches.

How many faces does the figure have?

6 m

2 m

4 m


34 length of 12 inches, a width of 6 inches and a height of 5 inches.

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

6 m

2 m

4 m


35 length of 12 inches, a width of 6 inches and a height of 5 inches.

What is the area of the top or bottom face?

6 m

2 m

4 m


36 length of 12 inches, a width of 6 inches and a height of 5 inches.

What is the area of the left or right face?

6 m

2 m

4 m


37 length of 12 inches, a width of 6 inches and a height of 5 inches.

What is the area of the front or back face?

6 m

2 m

4 m


38 length of 12 inches, a width of 6 inches and a height of 5 inches.

What is the surface area of the figure?

6 m

2 m

4 m


Find the Surface Area. length of 12 inches, a width of 6 inches and a height of 5 inches.

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


5 yd length of 12 inches, a width of 6 inches and a height of 5 inches.

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


Find the Surface Area length of 12 inches, a width of 6 inches and a height of 5 inches..

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


9 cm length of 12 inches, a width of 6 inches and a height of 5 inches.

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.


39 length of 12 inches, a width of 6 inches and a height of 5 inches.

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


Find the Surface Area. length of 12 inches, a width of 6 inches and a height of 5 inches.

7 cm

3 cm

4 cm

15 cm

5 cm

6 cm


7 cm length of 12 inches, a width of 6 inches and a height of 5 inches.

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


40 length of 12 inches, a width of 6 inches and a height of 5 inches.

Find the surface area of the shape below.


41 length of 12 inches, a width of 6 inches and a height of 5 inches.

Find the surface area of the shape below.

2 cm

10 cm

6 cm

6 cm

10 cm


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