On the line draw bits of 1 centimetre.

	a.xxxHow many centimetres long is the line of 1 decimetre ? ________ centimetres.
	b.xxxFill in: 1 dm = ________ cm.

21.	a.	to the right, draw a square with a length of 10 cm and a width of 10 cm	space for drawing
		The square that you Have drawn is a square decimetre (1 dm²)
	b.	In the bottom left -hand corner of the large square, draw a square centimetre (1 cm²)
	c.	How many cm² go into the large square of 1 dm² ? = __________ cm²

22. This is a pile of blocks of 1 cm³. 10 blocks van 1 cm³ can fit in the length. 10 blocks van 1 cm³ can fit in the width. 10 blocks van 1 cm³ can fit in the height.

	a.	What is the volume of the pile of blocks in cubic centimetres? The volume is __________ cm³.
	c.	Fill in: 1 dm³ = __________ cm³.

23.	Below, two blocks of 1 dm³ have been drawn. Each block is a pile of 1000 cm³.

a.xxx What is the volume of the two blocks in cubic decimetres? xxxxx The volume is ________ dm³.

b.xxxWhat is the volume of the two blocks in cubic centimetres? xxxxxThe volume is __________ cm³.

c.xxxFill in: xxxx1 dm³ = __________ cm³xxxxxx3 000 cm³ = __________ dm³ xxxx2 dm³ = __________ cm³xxxxx14 000 cm³= __________ dm³ xxxx12 dm³ = __________ cm³xxxx32 000 cm³= __________ dm³

24.	Below, draw a line of 16 centimetres.

Space for drawing

xxxHow many decimetres is this line ? 16 centimetres = __________ dm.

25.	Below, draw a line of 1.4 decimetres.

Space for drawing

xxxHow many centimetres is the line? 1.4 decimetres = __________ cm.

26.	Below, draw a line of 0.8 decimetres.

Space for drawing

xxxHow many centimetres is the line ? 0.8 decimetres = __________ cm.

27.	Below, a pile of blocks of 1 cubic centimetre has been drawn.

What is the volume of this pile in cubic centimetres? The volume is __________ cm³.

28.	Below, a pile of blocks of 1 cm³ has been drawn. The pile is 14 centimetres long, 8 centimetres wide and 12 centimetres high.

What is the volume of this pile in cubic centimetres? The volume is __________ cm³.

Tip: Use a calculator

29.	Below, a pile of blocks of 1 cm³ has been drawn. It is the same pile as in sum 52. But the sizes are now in decimetres. The pile is 1.4 decimetres long, 0.8 decimetres wide and 1.2 decimetres high.

What is the volume of this pile in cubic decimetres? The volume is __________ dm³.

Tip: Use a calculator

30.	Compare the answers of sums 28 and 29.

a.

Write down what you notice about them.

	xxxxx__________________________________________________________________
	xxxxx__________________________________________________________________

b.

Fill in: ________ dm³ = __________ cm³.

31.	Fill in: 8 dm³= __________ cm³xxxxxxx0.8 dm³= __________ cm³ 3 dm³= __________ cm³xxxxxxx14 dm³= __________ cm³ 2.5 dm³= __________ cm³xxxxx1.4 dm³= __________ cm³ 16 dm³= __________ cm³xxxxxx1.6 dm³= __________ cm³

Explanation

Often, you have to convert the volume of something to a different unit. For example, you know the sizes in centimetres. You have to calculate the volume in cubic decimetres (dm³). You have to know how many cubic centimetres (cm³)go into a cubic decimetre (dm³). A schedule is handy to convert units. Below, you will find a schedule for converting units.

x 10 x 10 x 10 Lengths: m dm cm mm 1 m = 10 dm : 10 : 10 : 10 1 dm = 0.1 m x 100 x 100 x 100 Surface areas: m² dm² cm² mm² 1 m² = 100 dm² : 100 : 100 : 100 1 dm² = 0.01 m² x 1000 x 1000 x 1000 Volumes: m³ dm³ cm³ mm³ 1 m³ = 1000 dm³ : 1000 : 1000 : 1000 1 dm³ = 0.001 m³ Examples: 1 dm³ = 1000 cm³ 4 dm³ = 4000 cm³ 1 cm³ = 0.001 dm³ 25 cm³ = 0.025 dm³

32.	Practise converting. Fill in:

2 dm³= ____________ cm³xxxxxx25 000 cm³= ____________ dm³ 0.2 dm³= ____________ cm³xxxxxxx500 cm³= ____________ dm³ 1.2 dm³= ____________ cm³xxxxxxx850 cm³= ____________ dm³ 12 dm³= ____________ cm³xxxxxxx1 750 cm³= ____________ dm³ 85 dm³= ____________ cm³xxxxxxx2 850 cm³= ____________ dm³

33.

Fill in:

1 m³ =__________ xxxxxxxxxxdm³= ____________ cm³ 0.5 m³ =__________ xxxxxxxxdm³= ____________ cm³ 0.25 m³ =__________ xxxxxxxdm³ = ____________ cm³ 1.5 m³ =__________ xxxxxxxxdm³ = ____________ cm³ 0.015 m³ = __________ xxxxxxdm³ = ____________ cm³

34.	Below, you will se the drawing of a box. The sizes are in centimetres.

What is the volume of this in cubic decimetres? The volume is __________ dm³.

35.	Bert and Ben have a conversation about converting volumes. They talk about two methods. This is how their conversation goes.

Bert:	I multiply first. Then I convert the sizes.
Ben:	Do you never make a mistake with the zeros ?
Bert:	No. The volume of the box is 60 x 50 x 40. Let's see: 60 x 50 = 3000. And then 3000 x 40 is 120000. The volume of the box is 120 000 cm³. I have to divide it by 1000 to get the cubic decimetres. So it's 120 dm³.
Ben:	I find it handy to first convert all the sizes to the unit I have to know. So I first turn the centimetres into decimetres. So 60 centimetres become 6 decimetres, etc. Then I multiply. I calculate the volume of the box with 6 x 5 x 4 dm. So that's 120 dm³

Which method do you think is the handiest? Explain why.

	xxxxx__________________________________________________________________
	xxxxx__________________________________________________________________

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