1. Surface Area
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2. Surface Area of Prisms
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3. 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

4. Surface Area 6 in 3 in 8 in Bottom Top Left Right Front Back SUM
x x x x x x 6
in2
8 in
6 in
6 in
3 in
8 in
6 in
3 in
3 in
8 in

5. 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.
Length
Width
Height
Volume
Surface Area
Sketch

6. Which arrangement of 24 cubes has the least surface area?
Which has the most?
6 possible arrangements
24 x 1 x 1
12 x 2 x 1
8 x 3 x 1
6 x 4 x 1
6 x 2 x 2
4 x 3 x 2
least: 4 x 3 x 2 = 54 u2
most: 24 x 1 x 1 = 98 u2

7. 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.
Length
Width
Height
Volume
Surface Area
Sketch

8. Which arrangement of 64 cubes has the least surface area?
Which has the most?
7 possible arrangements
64 x 1 x 1
32 x 2 x 1
16 x 4 x 1
8 x 8 x 1
16 x 2 x 2
8 x 4 x 2
4 x 4 x 4
least: 4 x 4 x 4 = 96 u2
most: 64 x 1 x 1 = 258 u2

9. Which arrangement of 27 cubes has the least surface area?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
Answer: B

10. Which arrangement of 12 cubes has the least surface area?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
Answer: A

11. Which arrangement of 25 cubes has the greatest surface area?31
Which arrangement of 25 cubes has the greatest surface area? A
1 x 1 x 25 B
1 x 5 x 5
Answer: A

12. Which arrangement of 48 cubes has the least surface area?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
Answer: F

13. Top/Bottom Front/Back Left/Right Surface Area 12 12 6 144
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.
5 in
6 in
12 in
Top/Bottom Front/Back Left/Right Surface Area
x x x
x x x in2
click to reveal
click to reveal
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14. Find the figure's surface area.
Name the figure.
Find the figure's surface area.
3 m
5 m
7 m
Teacher’s instructions:
Rectangular Prism
Base Rectangles
3(5)(2) 3(7) 5(7) 3(7) 5(7)
Sum = 142 m2

15. How many faces does the figure have?33
How many faces does the figure have?
2 m
4 m
6 m
Answer: 6

16. 34
How many area problems must you complete when finding the surface area?
2 m
4 m
6 m
Answer: 6
3 (if you double)

17. What is the area of the top or bottom face?35
What is the area of the top or bottom face?
2 m
4 m
6 m
Answer: 8
(2)(4)
8 m2

18. What is the area of the left or right face?36
What is the area of the left or right face?
2 m
4 m
6 m
Answer: 12
(2)(6)
12 m2

19. What is the area of the front or back face?37
What is the area of the front or back face?
2 m
4 m
6 m
Answer: 24
(6)(4)
24 m2

20. What is the surface area of the figure?38
What is the surface area of the figure?
2 m
4 m
6 m
Answer: 88
2(8)+2(12)+2(24)
88 m2

21. 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
6 yd
4 yd
5 yd
go on to see steps
9 yd

22. Total Surface Area 24 54 + 90 168 yd2 Triangles Bottom Rectangle 4 9
CLICK TO REVEAL
CLICK TO REVEAL
Triangles Bottom Rectangle
x x 6
24 / 2 =
x 2 24
CLICK TO REVEAL
CLICK TO REVEAL
Total
Surface
Area 24 54
+ 90
168 yd2
9 yd
5 yd
6 yd
4 yd
Left/Right Rectangles
(Same size since isosceles) 5
x 9 45
x 2 90

23. 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
6 cm
11 cm
TRY THIS ONE

24. Click on box to reveal steps.
9 cm
6 cm
11 cm
Triangles Rectangles
Click on box to
reveal steps.
Answer: 351 cm2

25. Find the surface area of the shape below.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
21 ft
42 ft
50 ft
47 ft
Answer: 6382 ft2

26. Find the Surface Area.
7 cm
3 cm
4 cm
15 cm
6 cm
5 cm

27. Trapezoids 10 + 6 16 x 4 64 / 2 = 32 x 2 64 Bottom Rectangle 6 x 15 90
7 cm
3 cm
4 cm
15 cm
6 cm
5 cm
Trapezoids 10
+ 6 16
x 4
64 / 2 = 32
x 2 64
Bottom Rectangle 6
x 15 90
Top Rectangle 10
x 15
150
Side Rectangles 5
x 15 75
x 2
150
click to reveal
click to reveal
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Surface Area 64 90
150
+ 150
454 cm2
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28. Find the surface area of the shape below.40
Find the surface area of the shape below.
Answer:
Bases Sides
2 Triangles Rectangles
A = (1/2)bh x x 9 = 90
A = (1/2)(8)(6) x x 9 = 54
A = 48 cm x 9 = 72
sum = 216 cm2
Surface area = 264 cm2

29. Find the surface area of the shape below.41
Find the surface area of the shape below.
10 cm
2 cm
6 cm
Answer:
Bases Sides
Square & Rectangle 6 Rectangles
A = s2 + lw x 10 = 60
A = x x 10 = 60
A = x 10 = 40
A= 44 cm x 10 = 40
A = 44 x x 10 = 20
(top + bottom) x 10 = 100
A = 88 cm sum = 320 cm2
SurfaceArea = 408 cm2