• Volume is the amount of liquid that a container holds.•The units of volume of liquid:

• litre(l)•millilitre(ml)

x 1000

1000

Basic operation involving volumes of liquids

• Addition and subtractionMake sure that all measurements are in the same units before performing the operations

a) 4.95 l – 180 ml = _____________ l

4 . 9 5 l - 0 . 1 8 l 4 . 7 7 l

158

180 ml = (1801000) l= 0.18 l

180 ml = (1801000) l= 0.18 l

Same unit

b) 6 l 250 ml + 3 l 850 ml= ______ l ______ml

6 l 250 ml+ 3 l 850 ml

9 1100 + 1 -1000 10 100

6 l 250 ml + 3 l 850 ml = 10 l 100 ml

Multiplication and division

a) 5 l 100 ml x 3 = ____________ l

5 l 100 mlx 3 15 l 300 ml

5 l 100 ml x 3= 15 l 300 ml= 15 l + (300 1000) l= 15 l + 0.3 l= 15.3 l

5.5 l 5 = __________ ml

1 . 1 l

5 5 . 5 l - 5_______

5_____ - 5__

0

5 . 5 l 5= 1 . 1 l= 1 . 1 x 1000 ml= 1 100 ml

a) 2 of 2.1 l=__________ml 3

2 x 2.1 l = 2 x 2.1 l3 3

= 2 x 0.7 l =1.4 l = 1.4 x 1000

ml = 1400ml

a) 2 of 2.1 l=__________ml 3

2 x 2.1 l = 2 x 2.1 l3 3

= 2 x 0.7 l =1.4 l = 1.4 x 1000

ml = 1400ml

1

0.7

To find the fraction of a given volume, multiply the fraction by the volume of liquid.

Or

2 of 2.1 l = 2 x ( 2.1 x1000 ml)3 3

= 2 x 2 100 ml 3 = 1 400 ml

Or

2 of 2.1 l = 2 x ( 2.1 x1000 ml)3 3

= 2 x 2 100 ml 3 = 1 400 ml

1

700

Convert the units first and then perform the operation

b) 2b) 2 2323

x 1 400 ml = x 1 400 ml =

17 717 7

x 1 400 mlx 1 400 ml1

200200

= 3 400 ml= (3 400 1 000) l= 3.4 l

= 3 400 ml= (3 400 1 000) l= 3.4 l

4.5 l

Mango juice

The diagram shows the volume of apple juice in a bottle

Gan serves of it to his guests. What is the volume, in ml, of the remaining apple

juice in the bottle?

35

35

35

35 1

900

232

End of Explanation…

1. Convert 10 l to mlA 106B 1035C 1060D 10600

35

2. Which of the following has the largest value ?

A of 2.7 l

B of 4.2 l

C of 2.1 l

D of 3.2 l

49

56

37

78

3. The volume of shampoo in a

bottle is l. Find, in litres,

the volume of shampoo in nine similar bottles.A 0.7B 0.9C 6.3D 6.6

710

4. Convert 3.087 l to mlA 3807B 3780C 3087D 3078

5. A tank contains 54 l of water.

Munirah uses of the water

to wash her car and another 21.5 l to water her plants. Find the remaining volume of water left in the tank.

A 36 lB 18 lC 14.5 lD 12.5 l

13

6. A bottle of juice has a capacity of 2750 ml. Darshini

and her children drink of it.

Find the volume, in l, of the juice left.

A 0.55B 1.10C 1.65D 2.20

45

7. A water tank holds 24 l of

water. Asrul used of it. Find

the volume in l, of water that he used.

A 4B 16C 18D 20

56

8. The capacity of a jug is 3.2 l. Susan pours mango juice which

fills of the capacity of the

jug. How many more millilitres of mango juice are needed to fill the jug completely ?

A 2000B 1200C 2.0D 1.2

58

End of question…