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Chapter 3. Volume: litres, decilitres, centilitres and millilitres

The volume of objects like a box, a pile of blocks, a beam of a cube is usually in cubic decimetres or cubic centimetres.

In daily life you also encounter other units of volume, for example when doing the shopping. You buy a litre of milk or two 1.5 litre bottles of cola.
For objects which are used to fill with a fluid in we usually speak of litres. For example: a bucket can hold 10 litres of water. Or: 1 litre of milk fits in a carton, 1.5 litres of cola in a bottle.

In this chapter you will get to know the litre as a measure of volume. You will learn that 1 litre is just as much as 1 dm³. You will also get to know the smaller measures such as the decilitre and centilitre. And you will learn how to convert these units.

36. Assignment.
Look for 5 objects that can hold a fluid. For example: tins of soft drink, drink cartons, a milk carton or a bottle.

a. Below, write down the how much volume is indicated on the packaging.

Object

Volume
_______________ _______________
_______________ _______________
_______________ _______________
_______________ _______________
_______________ _______________


b. Put them in the right order.
Start with the largest volume and end with the smallest one.

__________ __________ __________ __________ __________

c. Which unit of volume is used on the packaging?
Choose from: l dl cl ml

_____ _____ _____

d. For which word is cl the abbreviation? cl = _______________

37. How much goes in?
For the following assignment you will need a bucket of water and a measuring jug.
You will also need objects that can hold water: a glass, a cup, a mug, an empty tin and an empty soft drink bottle.

Assignment: Fill the glass with water. Empty the glass into the measuring jug. Meet the amount of water that goes into the glass. Write down how much will fit in. Do the same with the other objects.

The glass can hold _______________
The cup can hold _______________
The mug can hold _______________
The tine can hold _______________
The bottle can hold _______________


It has been agreed that when the volume of objects is measured, a standard size (unit) is used. That unit is the litre.
There are also smaller units which are derived from the litre.
The names of the units say how many litres the unit is.

See: litre 1 litre
decilitre 0.1 litre or one tenth of a litre
centilitre 0.01 litre or one hundredth of a litre
millilitre 0.001 litre or one thousandth of a litre

The prefixes are not only used for litres. They are also used for other units: milligram for weight (of medicines for example), decimetre or centimetre for measuring length.

Converting units
Abbreviations: litre l
decilitre dl
centilitre cl
millilitre ml


Here we use the line of units to explain conversion. The line of units looks like this:
Example:
If you want to convert 4 decilitres to millilitres, you take two steps to the right. For each step you multiply the number by 10. So then you get:

4 x 10 = 40 and 40 x 10 = 400
So: 4 dl = 400 ml

If you want to convert 33 centilitres to litres, you take two steps to the left. For every step you divide the number by door 10. So then you get:

33 : 10 = 3,3 and 3,3 : 10 = 0.33
So 33 cl = 0.33 l

38. Convert the units.

25 dl = __________ mlxxxxxxxxx3500 dl = __________ l

3 l = __________ dlxxxxxxxxxxxxx400 ml = __________ dl

1.5 dl = __________ mlxxxxxxxxxxxx3 cl = __________ dl

0.5 l = __________ dlxxxxxxxxxxx752 ml = __________ l

6.4 dl = __________ mlxxxxxxxxxxx35 ml = __________ l


39. Make 1 litre.
For every volume in group 1, find another volume in group 2 so that the total will come to 1 litre. Draw lines.

Group 1
100 ml o
50 cl o
1 ml o
8 dl o
0.72 l o
0.4 l o
700 ml o
0.05 dl o
475 ml o
30 cl o
Group 2
o 0.999 l
o 200 ml
o 5 dl
o 0.6 l
o 280 ml
o 9 dl
o 525 ml
o 70 cl
o 99.5 cl
o 3 dl


40. Below, you can see 5 cartons of milk. Underneath the cartons it says how much milk they contain.
On each carton draw how much milk is in it.

25 cl 7 dl 0.33 l 0.2 l 35 cl


41. Choose which of the three answers is correct.
The first assignment has been given as an example.

Choose the right answer
1.
1 l = 1 000 ml
a. 100
b. 1 000
c. 0.001

2.
1 l = ......... cl
a. 10
b. 100
c. 0.1

3.
7 dl = ......... cl
a. 70
b. 700
c. 0.07

4.
4 cl = ......... ml
a. 400
b. 0.4
c. 40

5.
36 dl = ......... cl
a. 3.6
b. 3600
c. 360

6.
3.5 l = ......... ml
a. 350
b. 0.0035
c. 3 500

7.
56 cl = ......... ml
a. 56 000
b. 0.56
c. 560

8.
5.4 l = ......... cl
a. 540
b. 0.054
c. 54

9.
0.9 dl = ......... ml
a. 90
b. 900
c. 9

10.
0.06 cl =.......... ml
a. 600
b. 0.6
c. 60

11.
0.12 dl = ......... cl
a. 1.2
b. 0.012
c. 120

12.
80.4 l = ......... cl
a. 804
b. 8 040
c. 80 400


42. Choose which of the three answers is correct.
The first assignment has been given as an example.

Choose the right answer
1.
1 ml = 0.001 l
a. 1 000
b. 100
c. 0.001

2.
1 dl = ......... l
a. 10
b. 100
c. 0.1

3.
5 ml = ......... cl
a. 0.5
b. 50
c. 0.05

4.
3 dl = ......... ml
a. 30
b. 0.3
c. 0.03

5.
40 cl = ......... l
a. 4 000
b. 4
c. 0.4

6.
350 ml = ......... l
a. 0.35
b. 0.0035
c. 350 000

7.
57.5 ml = .........cl
a. 57 500
b. 5.75
c. 575

8.
0.08 dl = ....... l
a. 80
b. 0.8
c. 0.008

9.
105 ml = ......... l
a. 10 500
b. 1.05
c. 0.105

10.
9 cl = ......... l
a. 900
b. 0.09
c. 90

11.
60 ml = ......... l
a. 600
b. 0.06
c. 60 000

12.
5.6 ml = ......... cl
a. 0.56
b. 560
c. 0.056


43. What is more, what is less ?

Soft drinks are on sale in the canteen. You can buy tins of cola, mineral water or Fristi. There are also bottles of Extran, cartons of yoghurt drink and cartons of apple juice.

On every packaging there is a different size for the volume. It is difficult to see what is more and what is less

The packaging says: Cola: 0.33 l
Apple juice: 0.25 l
Spa: 25 cl
Extran: 0,5 l
Fristi: 0,2 l
Yoghurt drink: 335 ml

Place the amount of soft drink in order from small to big. Start with the least and with the most.

________ ________ ________ ________ ________ ________


44. Drinking beer

Ben is throwing a party. In Belgium he buys crates of Palm beer. He can choose between two types of packaging:
In the red crates there are bottles with a volume of 0.33 litres.
In the green crates there are bottles with a volume of 0.25 litres.

a. How many bottles from the red crates make 1 litre ?
_____ bottles of 0.33 litres make 1 litre.

b. How many bottles from the green crates make 1 litre ?
_____ bottles of 0.25 litres make 1 litre.

. In the red crates there are 24 bottles of 0.33 litres.
In the green crates there are 24 bottles of 0.25 litres.

c. Ben buys 3 red crates. How many green crates must he buy to have just as much beer?
3 red crates is just as much as _____ green crates.

d. Ben only buys the three red crates. How many litres of beer has Ben bought in total ?
__________ litres



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