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sugar / rice / sand fills 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
4.
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
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 kℓ, litre or mℓ
24.2 NOTE:
You know already that 1 cm³ = 1 mℓ
Let us see how many cm³ are in 1 ℓ
 |
§ Now cut it out and fold along all the dotted lines..
§ If you have worked correctly, you will have a cube of 1 000 cm3.
§ Now take any 1 ℓ bottle or measuring cylinder and fill it with sugar, rice or sand. Empty it into your cube. What do you see?
= _________________________ cm³
24.3 Fill in the missing answers
a) 500 mℓ = __________________ cm³
b) __________________ mℓ = 0,200 litre = __________________ cm³
c) 30 mℓ = __________________ cm³
d) __________________ mℓ = 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
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Yes | No |
| I can explain the following concepts: | ||
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||
|
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| 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 | ||
|
||
|
||
| I can calculate correctly the volume of figures. | ||
| I know how to determine the volume of an irregular figure. | ||
| I can convert mℓ to cm3 and vice versa. | ||
| I can convert ℓ to cm3 and vice versa. |
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 fit into your container.
b) Design a label for the container that will attract the attention of potential customers!
Learning Outcome 4:The learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.
Assessment Standard 4.3:We know this when the learner solves problems using a range of strategies;
Assessment Standard 4.5:We know this when the learner calculates, by selecting and using appropriate formulae.
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 figures?
 |
_______________________________________
 |
_______________________________________
(2)
3.1 How many vertexes does figure A have? _____________________________
3.2 How many faces does figure B have? ________________________________
(2)
4. Two sections of the net are missing. Draw them in.
 |
(2)
5. Calculate the perimeter of the following figure:
 |
(3)
_____________________________________________________________________
_____________________________________________________________________
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(3)
6. Calculate the area of a rectangle in cm2. Its length is 87 mm and breadth is 56 mm.
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
(3)
7. My entertainment area is 6,25 m by 4,5 m. I want to tile the floor with tiles of 250 mm by 250 mm. How many tiles do I need?
_____________________________________________________________________
_____________________________________________________________________
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_____________________________________________________________________
(5)
8. The inside measurements of a rectangular fish tank are 3 m by 2,3 m by 5,65 m.
a) What is the capacity, in litres, of the fish tank?
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
(4)
b) What is its capacity in kilolitres?
_____________________________________________________________________
(1)
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Last edited by Siyavula Uploaders on Apr 20, 2009 12:51 am GMT-5.
