Surface%20Area

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Surface Area
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Surface Area of Prisms
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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?
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Surface Area
6 in
3 in
8 in
Bottom Top Left Right Front Back
SUM 8 8 6 6 8
8 x 3 x 3 x 3 x
3 x 6 x 6 24 24
18 18 48
48 180 in2
6 in
6 in
6 in
3 in
3 in
8 in
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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






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Which arrangement of 24 cubes has the least
surface area? Which has the most?
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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?
9
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
10
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
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31
Which arrangement of 25 cubes has the greatest
surface area?
A
1 x 1 x 25
B
1 x 5 x 5
12
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
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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.
Top/Bottom Front/Back Left/Right
Surface 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
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Name the figure. Find the figure's surface area.
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33
How many faces does the figure have?
16
34
How many area problems must you complete when
finding the surface area?
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35
What is the area of the top or bottom face?
18
36
What is the area of the left or right face?
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37
What is the area of the front or back face?
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38
What is the surface area of the figure?
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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
9 yd
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5 yd
9 yd
Triangles Bottom Rectangle 4
9 x 6 x
6 24 / 2 12 54
x 2 24
Total Surface Area 24 54 90 168 yd2
Left/Right Rectangles (Same size since
isosceles) 5 x
9 45
x 2 90
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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
TRY THIS ONE
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Triangles Rectangles
Click on box to reveal steps.
25
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
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Find the Surface Area.
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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
Surface Area 64 90 150 150
454 cm2
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40
Find the surface area of the shape below.
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41
Find the surface area of the shape below.