1. Whiteboardmaths.com
© 2007 All rights reserved 5 7 2 1

2. Refresher Metric Units kings have Dashed my dreams cried mary
In earlier work on metric prefixes we looked at a Mnemonic to help us remember them.
A Mnemonic
kings have Dashed my dreams cried mary i l o
1000 e c t o
100 e c a 10 1 e t r e c i
1/10 e n t i
1/100 i l
1/1000

3. Units of Capacity k h D l d c m
The principal unit of capacity in the metric system is the litre (l )
Bigger
1 kilolitre
1000 litres
Smaller
1 ml/cc of water has a mass of 1 gram
1 Litre
1000 ml
kilolitre
hectolitre
Decalitre
litre
decilitre
centilitre
millilitre
1000 l
100 l
10 l
1 l
1/10 l
1/100 l
1/1000 l
k l
h l
D l l
d l
c l
m l

4. Less Common units Units of Capacity 1 cl = 10 ml and 1/10 dl k h D l d
The principal unit of capacity in the metric system is the litre (l )
Bigger
1 kilolitre
1000 litres
Smaller
kilolitre
hectolitre
Decalitre
litre
decilitre
centilitre
millilitre
1000 l
100 l
10 l
1 l
1/10 l
1/100 l
1/1000 l
k l
h l
D l l
d l
c l
m l
Each unit in the table is 10 times larger than the unit to it’s right and 10 times smaller than the unit to its left.
1 ml/cc of water has a mass of 1 gram
1 cl = 10 ml and 1/10 dl
Less Common units

5. Units of Capacity 1 l = 10 dl and 1/10 Dl k h D l d c m
The principal unit of capacity in the metric system is the litre (l )
Bigger
1 kilolitre
1000 litres
Smaller
kilolitre
hectolitre
Decalitre
litre
decilitre
centilitre
millilitre
1000 l
100 l
10 l
1 l
1/10 l
1/100 l
1/1000 l
k l
h l
D l l
d l
c l
m l
Each unit in the table is 10 times larger than the unit to it’s right and 10 times smaller than the unit to its left.
1 ml/cc of water has a mass of 1 gram
1 l = 10 dl and 1/10 Dl

6. Units of Capacity 1 l = 100 cl and 1/100 hl k h D l d c m
The principal unit of capacity in the metric system is the litre (l )
Bigger
1 kilolitre
1000 litres
Smaller
kilolitre
hectolitre
Decalitre
litre
decilitre
centilitre
millilitre
1000 l
100 l
10 l
1 l
1/10 l
1/100 l
1/1000 l
k l
h l
D l l
d l
c l
m l
Each unit in the table is 10 times larger than the unit to it’s right and 10 times smaller than the unit to its left.
1 ml/cc of water has a mass of 1 gram
1 l = 100 cl and 1/100 hl

7. Units of Capacity 1 Dl = 1000 cl and 1/100 kl k h D l d c m
The principal unit of capacity in the metric system is the litre (l )
Bigger
1 kilolitre
1000 litres
Smaller
kilolitre
hectolitre
Decalitre
litre
decilitre
centilitre
millilitre
1000 l
100 l
10 l
1 l
1/10 l
1/100 l
1/1000 l
k l
h l
D l l
d l
c l
m l
Each unit in the table is 10 times larger than the unit to it’s right and 10 times smaller than the unit to its left.
1 ml/cc of water has a mass of 1 gram
1 Dl = 1000 cl and 1/100 kl

8. 10 1/10 Units of Capacity k h D l d c m
The principal unit of capacity in the metric system is the litre (l )
Bigger
1 kilolitre
1000 litres
Smaller
kilolitre
hectolitre
Decalitre
litre
decilitre
centilitre
millilitre
1000 l
100 l
10 l
1 l
1/10 l
1/100 l
1/1000 l
k l
h l
D l l
d l
c l
m l
Use the table to answer the following:
(a) How many Dl in a hl
(b) How many kl in a hl
1 ml/cc of water has a mass of 1 gram 10
1/10

9. 100 1/100 Units of Capacity k h D l d c m
The principal unit of capacity in the metric system is the litre (l )
Bigger
1 kilolitre
1000 litres
Smaller
kilolitre
hectolitre
Decalitre
litre
decilitre
centilitre
millilitre
1000 l
100 l
10 l
1 l
1/10 l
1/100 l
1/1000 l
k l
h l
D l l
d l
c l
m l
Use the table to answer the following:
(a) How many ml in a dl
(b) How many Dl in a dl
1 ml/cc of water has a mass of 1 gram
100
1/100

10. 10 000 1/10 Units of Capacity k h D l d c m
The principal unit of capacity in the metric system is the litre (l )
Bigger
1 kilolitre
1000 litres
Smaller
kilolitre
hectolitre
Decalitre
litre
decilitre
centilitre
millilitre
1000 l
100 l
10 l
1 l
1/10 l
1/100 l
1/1000 l
k l
h l
D l l
d l
c l
m l
Use the table to answer the following:
(a) How many ml in a Dl
(b) How many hl in a Dl
1 ml/cc of water has a mass of 1 gram
10 000
1/10

11. Common units Units of Capacity k h D l d c m
The principal unit of capacity in the metric system is the litre (l )
Bigger
1 kilolitre
1000 litres
Smaller
kilolitre
hectolitre
Decalitre
litre
decilitre
centilitre
millilitre
1000 l
100 l
10 l
1 l
1/10 l
1/100 l
1/1000 l
k l
h l
D l l
d l
c l
m l
The most commonly used units of capacity in use in the UK are the litre, millilitre and to a lesser extent the centilitre. These are the units that we will now concentrate on.
1 ml/cc of water has a mass of 1 gram
1 l = 1000 ml l = 100 cl cl = 10 ml
Common units

12. L to cl and ml Units of Capacity
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
By looking at these basic relationships above we can see that:
Use these relationships to help you work out the following:
L to cl and ml

13. Units of Capacity (a) 2000 ml (b) 200 cl
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) ml and (b) cl in each case.
(a) 2000 ml
1 litre
(b) 200 cl

14. Units of Capacity (a) 5000 ml (b) 500 cl
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) ml and (b) cl in each case.
1 litre
1 litre
(a) 5000 ml
(b) 500 cl
1 litre
1 litre

15. Units of Capacity (a) 4500 ml (b) 450 cl
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) ml and (b) cl in each case.
1 litre
1 litre
(a) 4500 ml
(b) 450 cl
1 litre
½ litre

16. Units of Capacity (a) 3750 ml (b) 375 cl
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) ml and (b) cl in each case.
1 litre
1 litre
(a) 3750 ml
(b) 375 cl
¾ litre

17. cl to l and ml Units of Capacity (a) 0.7 l (b) 700 ml 70 cl
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) l and (b) ml in each case.
70 cl
(a) 0.7 l
(b) 700 ml
cl to l and ml

18. Units of Capacity (a) 0.16 l (b) 160 ml 16 cl
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) l and (b) ml in each case.
(a) 0.16 l
(b) 160 ml
16 cl

19. Units of Capacity (a) 0.33 l (b) 330 ml 33 cl
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) l and (b) ml in each case.
(a) 0.33 l
(b) 330 ml
33 cl

20. Units of Capacity (a) 0.225 l (b) 225 ml 22.5 cl
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) l and (b) ml in each case.
(a) l
(b) 225 ml
22.5 cl

21. ml to l and cl Units of Capacity (a) 1 l (b) 100 cl 1000 ml
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) l and (b) cl in each case.
(a) 1 l
(b) 100 cl
1000 ml
ml to l and cl

22. Units of Capacity (a) ¼ l (b) 25 cl 250 ml
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) l and (b) cl in each case.
Liquid Soap
(a) ¼ l
(b) 25 cl
250 ml

23. Units of Capacity (a) 0.095 l (b) 9.5 cl 95 ml
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) l and (b) cl in each case.
(a) l
(b) 9.5 cl
95 ml

24. Units of Capacity (a) 0.33 l (b) 33 cl 330 ml
1 l = 1000 ml l = 100 cl cl = 10 ml
1 ml = 1/1000 l 1 cl = 1/100 l 1ml = 1/10 cl
Work out the number of (a) l and (b) cl in each case.
(a) 0.33 l
(b) 33 cl
330 ml

25. Complete the table below.
Question l cl ml 1 2 50 3
1.5 4
3000 5
750 6
2400 7
786 8
150 9
9.1 10 25

26. Complete the table below.
Question l cl ml 1
100
1000 2 50
500 3
1.5
150
1500 4
300
3000 5 75
750 6
2.4
240
2400 7
7.86
786
7860 8
0.15 15 9
9.1
910
9100 10
0.025
2.5 25

27. Worksheet Question l cl ml 1 2 50 3 1.5 4 3000 5 ¾ 750 6 2400 7 786 8
Complete the table below.
Question l cl ml 1 2 50 3
1.5 4
3000 5
750 6
2400 7
786 8
150 9
9.1 10 25