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Math Surface area of cubes 1.1
Contributed by: Gladish
by MizzterG
               Welcome
Rutherford County Students
Surface area of cubes
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Surface area of cubes
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Surface area of cubes
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Surface area of cubes
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So basically, you have six squares.
Each face of a cube is a square
area of a square
is side times side
Let's decompose this shape a bit more so you can see.
A = S • S
We know how to find the area
of a square.  This will help us with
the surface area of the entire shape.
To decompose a shape means to separate
its parts.
de•com•pose
To decompose a shape means to separate
its parts.
de•com•pose
You can now see the face
(square) separate from the cube.
de•com•pose
to separate into parts
The area of the square is easy to find.
de•com•pose
to separate into parts
1 unit
1 unit
The formula for
area of a square
 is side x side
de•com•pose
1•1=
to separate into parts
unit2
1 unit
1 unit
The formula for
area of a square
 is side x side
de•com•pose
1•1=
to separate into parts
1
1unit2
unit2
1 unit
1 unit
The formula for
area of a square
 is side x side
When we recompose the shape, you can see
each of the visable faces has an area of
1 square unit.
de•com•pose
to separate into parts
1unit2
1unit2
It can also be written 1 unit2
1unit2
1 unit
1 unit
The formula for
area of a square
 is side x side
There are three square units visible.  But wait!
Don't forget a cube has six faces!
There are three faces you can's see.
Surface Area
the area covering the whole shape
1unit2
1unit2
1unit2
1 unit
1 unit
The
1 unit2
1 unit2
1 unit2
1 unit2
1 unit2
1 unit2
6 unit2
cube
?
has a
Surface Area
the area covering the whole shape
surface
?
1unit2
1unit2
area
?
1unit2
1 unit
of
1 unit
6 square
?
The formula for
area of a square
 is side x side
units
?
.
The
1 unit2
1 unit2
1 unit2
1 unit2
1 unit2
1 unit2
6 unit2
cube
has a
Surface Area
the area covering the whole shape
surface area
1unit2
1unit2
1unit2
1 unit
of
1 unit
6 square units
The formula for
area of a square
 is side x side
.
6 unit2
1 unit2
1 unit2
1 unit2
1 unit2
1 unit2
1 unit2
Surface Area
the area covering the whole shape
length
1unit2
1unit2
1unit2
width
height
This formula works for
cubes and rectangular
                            prisms
The formula for
area of a square
 is side x side
or l x w
.
You can find the                         of a          by finding
                                    ↽
the area of one          and                      by          .  
Surface area of a cube
side
?
surface
?
area
?
multiplying
?
If you know its a cube,
this is the quickest way
to find the surface area.
cube
?
six
?
You can find the                       of a          by finding

the area of one        and                      by         .  
(S • S) •6 = surface area of a cube
side
surface area
multiplying
cube
If you know its a cube,
this is the quickest way
to find the surface area.
six
side x side x 6
The formula can be written in different ways,
but they all mean the same thing.
surface area of a cube=
6s2
or
6(s • s)
de•com•pose
to separate into parts
You can also find surface area using a net.
click ok  15 times quickly to see the cube
transform into a net.
You're doing great!
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
STOP
 continue
at normal
  speed
0
This is a          of a           .
net
?
cube
?
A net is a two-dimensional pattern of a
three-dimensional figure.
This is a          of a           .
net
cube
A _____ is a  ________________   pattern of a
.
______________ _____________.
three-dimensional
?
This is a          of a           .
net
?
two-dimensional
?
net
figure
?
cube
three-dimensional
A _____ is a  ________________   pattern of a
.
______________ _____________.
This is a          of a           .
net
two-dimensional
net
figure
cube
Taking a look at this
net, you can see it
is the net of a cube.
That means all sides
are the same.
1 unit
Taking a look at this
net, you can see it
is the net of a cube.
That means all sides
are the same.
1mm2
1 mm
1 mm
What are the areas
of the other squares?
mm2
mm2
mm2
mm2
mm2
All sides
are the same.
1mm2
1 mm
1 mm
Add all the areas
to find the surface
area of the cube.
The cube has a surface area of
1
mm2
1
mm2
1
1
1
mm2
mm2
mm2
1mm2
1 mm
1 mm
mm2
Add all the areas
to find the surface
area of the cube.
The cube has a surface area of
1
mm2
1
mm2
1
1
1
mm2
mm2
mm2
1mm2
1 mm
6 • 1 = 6
6
1 mm
mm2
surface area of a cube =
What is the surface area of this cube?
(s x s) 6
2cm
(S • S) • 6
formula
Find the area of one face (side) then multiply
by six.
surface area of a cube =
(s x s) 6
2cm
cm2
2cm
(S • S) • 6
surface area of a cube =
formula
Find the area of the rest of the faces.
cm2
cm2
cm2
cm2
cm2
(s x s) 6
4
2cm
cm2
2cm
(S • S) • 6
formula
What is the surface are of the entire cube?
surface area of a cube =
4
cm2
4
cm2
cm2
4
4
4
cm2
cm2
cm2
(s x s) 6
4
2cm
cm2
2cm
(S • S) • 6
formula
(2 • 2) • 6
4
cm2
4
24
cm2
cm2
(4) • 6 = 24
4
4
4
cm2
cm2
cm2
4
2cm
cm2
2cm
 9 in2
 81 in2
 63 in2
 54 in2
surface area of a cube =
3in
You can use scratch
paper and a calculator.
What is the surface
area of this cube?
(s x s) 6
 54 in2
surface area of a cube =
3in
(3 x 3) x 6
You can use scratch
paper and a calculator.
What is the surface
area of this cube?
(s x s) 6
surface area of a cube =
What is the surface area of the cube?
5 ft
25 square feet
150  square feet
125 square feet
200 square feet
(s x s) 6
What is the surface area of the cube?
surface area of a cube =
5 ft
(5 x 5) x 6

25 x 6 = 150
(s x s) 6
150  square feet
surface area of a cube =
Sometimes you might not get a picture.
Just use the formula.
(s x s) 6
or
(s x s) 6
surface area of a cube =
A cube has a side measuring 8 mm.  What
is its surface area?
800 square millimeters
384 square inches
512 square millimeters
 16 square millimeters
(s x s) 6
A cube has a side measuring 8 mm.  What
is its surface area?
surface area of a cube =
(8 x  8) x 6
384 square inches
(s x s) 6
Bob has a present he wants to wrap. The present
is a cube that has a side measuring 6 inches.
How many inches of wrapping paper does he need?
surface area of a cube =
1263 square inches
 36 square inches
24 square inches
216 square inches
(s x s) 6
Bob has a present he wants to wrap. The present
is a cube that has a side measuring 6 inches.
How many inches of wrapping paper does he need?
(6x6) x 6
surface area of a cube =
216 square inches
(s x s) 6
Here are some other sites where you can
do some practice.
Hope this lesson and quiz helped
you understand the surface area
of a cube!
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