OpenStax-CNX module: m22164
1
Volume and capacity
∗
Siyavula Uploaders
This work is produced by OpenStax-CNX and licensed under the
†
Creative Commons Attribution License 3.0
1 MATHEMATICS
2 Perimeter, Area and Volume
3 EDUCATOR SECTION
4 Memorandum
sugar / rice / sand lls up cube
1 000
1 000
24.3
a) 500
b) 200; 200
c) 30
d) 1 500; 1,500
e) 3 000
f) 0,950
147 litres
MODULE TEST 8
1.
a) 4
b) 30 000
c) 6
d) 2,5
e) 5
f) 2 000 000
g) 1
h) 1 000
2.
a) cube
b) pyramid
• 8
• 5
∗ Version
1.1: Apr 20, 2009 12:51 am -0500
† http://creativecommons.org/licenses/by/3.0/
http://cnx.org/content/m22164/1.1/
OpenStax-CNX module: m22164
4.
2
5. 114 mm
6. 48,72 cubic cm
7. Braai room = 28,125 square metres
Tiles = 0,0625 square metres
Tiles needed: 45
8.
a) Tank holds 38,985 cubic metres = 38 985 000 cubic cm
Therefore: 38 985 litres
b) 38,985 kl
5 LEANER SECTION
6 Content
6.1 ACTIVITY: Volume and capacity [LO 4.3, LO 4.5]
24. VOLUME AND CAPACITY
24.1 Let us look at the two terms : volume and capacity :
VOLUME
How much space something occupies.Is measured in cubic units: m3 ; cm3 ; mm3
CAPACITY
Normally refers to liquids.Normally measured in k`, litre or m`
24.2 NOTE:
You know already that 1 cm3 = 1 m`
Let us see how many cm3 are in 1 `
• Draw the following net on cardboard. (Be accurate.)
Figure 1
ŸNow cut it out and fold along all the dotted lines..
ŸIf you have worked correctly, you will have a cube of 1 000 cm3.
ŸNow take any 1 ` bottle or measuring cylinder and ll it with sugar, rice or sand. Empty it into your
cube. What do you see?
• Complete: 1 litre = __________________ m`
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= _________________________ cm3
24.3 Fill in the missing answers
a) 500 m` = __________________ cm3
b) __________________ m` = 0,200 litre = __________________ cm3
c) 30 m` = __________________ cm3
d) __________________ m` = 1 500 cm3 = __________________ litre
e) 3 litre = __________________ cm3
f) __________________ litre = 950 cm3
24.4 The inside measurements of a bath are 60 cm by 140 cm. by 35 cm.
How many litres of water does the bath take when it is half-full?
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25. Time for self-assessment
Yes
No
• Tick the applicable column:
I can explain the following concepts:
• Capacity
• volume
I know what units volume is measured in.
I can convert cm3 to mm3 and
vice versa.
I can convert m3 to cm3 and vice
versa.
I know the formula for the volume
of a
• rectangular prism
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• cube
I can calculate correctly the volume of gures.
I know how to determine the volume of an irregular gure.
I can convert m` to cm3 and vice
versa.
I can convert ` to cm3 and vice
versa.
Table 1
26. CHALLENGE!
A sweet company asks you to design a container for a new type of sweet. Each sweet looks like an
equilateral triangle that has sides 3 cm long. Each sweet is 1 cm thick.
a) Design the container. Decide how many of these sweets will t into your container.
b) Design a label for the container that will attract the attention of potential customers!
7 Assessment
Learning Outcome 4:
in a variety of contexts.
The learner will be able to use appropriate measuring units, instruments and formulae
We know this when the learner solves problems using a range of strategies;
We know this when the learner calculates, by selecting and using appropriate
Assessment Standard 4.3:
Assessment Standard 4.5:
formulae.
7.1 MODULE TEST
1. Fill in the missing answer:
a) 400 mm2 = __________________ cm2
b) 3 m2 = __________________ cm2
c) 6 000 000 m2 = __________________ km2
d) 20 500 m2 = __________________ ha
e) 5 000 mm3 = __________________ cm3
f) 2 m3 = __________________ cm3
g) 1 cm3 = __________________ ml
h) 1 litre = __________________ cm3 (8 x 1 = 8)
2. What do we call the following gures?
Figure 2
a)
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Figure 3
b)
_______________________________________
(2)
3.1 How many vertexes does gure A have? _____________________________
3.2 How many faces does gure B have? ________________________________
(2)
4. Two sections of the net are missing. Draw them in.
Figure 4
(2)
5. Calculate the perimeter of the following gure:
Figure 5
(3)
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
(3)
6. Calculate the area of a rectangle in cm2. Its length is 87 mm and breadth is 56 mm.
____________________________________________________________________
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____________________________________________________________________
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(3)
7. My entertainment area is 6,25 m by 4,5 m. I want to tile the oor with tiles of 250 mm by 250 mm.
How many tiles do I need?
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
(5)
8. The inside measurements of a rectangular sh tank are 3 m by 2,3 m by 5,65 m.
a) What is the capacity, in litres, of the sh tank?
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____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
(4)
b) What is its capacity in kilolitres?
____________________________________________________________________
(1)
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