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VOLUME BY COUNTING VOLUME BY COUNTING CUBESCUBES
ObjectiveObjective
To understand the concept of volume in terms of counting
cubes.
WHAT IS VOLUME?WHAT IS VOLUME?
Volume is the measure of the capacity of a container.
It is the measure of how much a container of a particular shape will hold - liquids, dry substances, etc.
= 1 centimetre cube
1cm 1cm
1cm
= 1 cm³
One Unit of Volume is the “CUBIC One Unit of Volume is the “CUBIC CENTIMETRE”CENTIMETRE”
Volume is the amount of space a 3D - shape takes upVolume is the amount of space a 3D - shape takes up
Volumes by Counting Volumes by Counting CubesCubes
= 2 centimetre cubes
1cm
1cm
1cm
= 2 cm³
This shape is made up of 1 centimetre cubes placed next to each other. What is its volume
in cm³?
1cm
Volumes by Counting Volumes by Counting CubesCubes
What is its volume in cm³ of these shapes.
5 cm3
6 cm3
5 cm3
Volumes by Counting Volumes by Counting CubesCubes
Volume = 24 centimetre cube
One unit of Volume is the “CUBIC One unit of Volume is the “CUBIC CENTIMETRE”CENTIMETRE”
2cm
3cm
4cm
= 24 cm³
Volumes by Counting Volumes by Counting CubesCubes
Volumes by Counting CubesVolumes by Counting Cubes
a. ____ cm³
b. ____ mm³
A. 32 A. 32 CMCM ³³B. 15CM³B. 15CM³
c. ____ cm3 d. ___ cm
3
A. 27 CM A. 27 CM ³³B. 12CM³B. 12CM³
Now try theseExercises!
Volume in term of Volume in term of cubescubes
ANSWERSANSWERS
VOLUME OF CUBES AND VOLUME OF CUBES AND CUBOIDSCUBOIDS
OBJECTIVE: To understand how to calculate the
volume of cuboids and cubes.
How can we find VOLUME of a cube?
CUBESCUBES
a
All the sides (edges) of a cube have the same
length. If each side has the length a, the
formula for the volume V will be:
L x L x L
x
a
Example 1
2cm
Volume = l x l x l
V = 2 x 2 x 2
V = 8 cm³
Working
34cm
34cm
34cm
Example 2Working
Volume = l x l x l
V = 34 x 34 x 34
V = 393cm3
Volume of a cuboid
4 layers of 18 cubes= 4 x 18
= 72 centimetre cubes = 72 cm³
18 cubes fit the base.
= 1 centimetre cube = 1 cm³
3cm
4cm
6cm
A short cut !
6 = 72 cm³ Volume =
length
x Breadth
x 4 x height
length
breadth
height
x 3 Volume =
3cm
4cm
6cm
Volume = l x b x h
V = 18 x 5 x 27
V = 2430 cm³
Example 1
18 cm5 cm
27cm
Heilander’sPorridge Oats
Working
2 cm
3 mm3 mm
4 mm
7 cm6 cm
9 ft
4 ft6 ft
Volume of Cuboids
Volume = 4 mm x 3 mm x 3 mm = 36 mm3
Volume = 2 cm x 7 cm x 6 cm = 84 cm3
36 mm3
36 mm3
84 cm384 cm3
Volume = 9 ft x 4 ft x 6 ft = 216 ft3
216 ft3
216 ft3
Volume l x w x h
? yards3
Now try theseExercises!
Volume of Volume of cuboids and cuboids and
cubescubes
VOLUME OF CYLINDERSVOLUME OF CYLINDERS
4cm
6cm
It has a height of 6cm .
What is the size of the radius ?
Volume = cross section x height
Calculate the area of the circle:
A = r 2
A = 3.14 x 2 x 2
A = 12.56 cm2
Calculate the volume:
V = r 2 x h
V = 12.56 x 6
V = 75.36 cm3
The formula for the volume of a cylinder is:
V = r 2 h
r = radius h = height.
2cm
VOLUME OF VOLUME OF CYLINDERSCYLINDERS
Radius is the half of diameter
The formula for the volume of a cylinder is:
V = r 2 h
r = radius h = height.