VOLUME BY COUNTING CUBES Objective To understand the concept of volume in terms of counting cubes.
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Transcript of VOLUME BY COUNTING CUBES Objective To understand the concept of volume in terms of counting cubes.
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VOLUME BY COUNTING VOLUME BY COUNTING CUBESCUBES
ObjectiveObjective
To understand the concept of volume in terms of counting
cubes.
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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.
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= 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
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= 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
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What is its volume in cm³ of these shapes.
5 cm3
6 cm3
5 cm3
Volumes by Counting Volumes by Counting CubesCubes
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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
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Volumes by Counting CubesVolumes by Counting Cubes
a. ____ cm³
b. ____ mm³
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A. 32 A. 32 CMCM ³³B. 15CM³B. 15CM³
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c. ____ cm3 d. ___ cm
3
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A. 27 CM A. 27 CM ³³B. 12CM³B. 12CM³
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Now try theseExercises!
Volume in term of Volume in term of cubescubes
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ANSWERSANSWERS
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VOLUME OF CUBES AND VOLUME OF CUBES AND CUBOIDSCUBOIDS
OBJECTIVE: To understand how to calculate the
volume of cuboids and cubes.
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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
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Example 1
2cm
Volume = l x l x l
V = 2 x 2 x 2
V = 8 cm³
Working
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34cm
34cm
34cm
Example 2Working
Volume = l x l x l
V = 34 x 34 x 34
V = 393cm3
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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
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A short cut !
6 = 72 cm³ Volume =
length
x Breadth
x 4 x height
length
breadth
height
x 3 Volume =
3cm
4cm
6cm
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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
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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
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Now try theseExercises!
Volume of Volume of cuboids and cuboids and
cubescubes
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VOLUME OF CYLINDERSVOLUME OF CYLINDERS
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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
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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.
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