This document teaches how to convert between measurements of area (cm2 and m2) and volume (cm3 and m3). It provides examples for converting square measurements using the conversion 1 m2 = 10,000 cm2 and cubic measurements using the conversion 1 m3 = 1,000,000 cm3. Learners are guided through examples and practice problems for converting between these common metric units of area and volume.

1. In this module, you will learn how
to convert measurements
between cm2 and m2 and
between cm3 and m3.

2. Converting Measurements 1
• What is the area of
the square on the
right in m2?
• ____________ m2
1 m
1 m

3. Converting Measurements 1
• What is the area of
the square on the
right in m2?
• ______1______ m2
1 m2
1 m
1 m

4. Converting Measurements 1
• We know that
1 m = __________
cm. What is the
length of the same
square in cm?
cm
cm

5. Converting Measurements 1
• We know that
1 m = ___100___ cm.
What is the length of
the same square in
cm?
100
cm
cm
100

6. Converting Measurements 1
• What is the area of
the same square in
cm2?
• Area of square
= _______ ×
________
= _______ cm2
100
cm
cm
100

7. Converting Measurements 1
• What is the area of
the same square in
cm2?
• Area of square
= __100__ ×
__100__
= _10000_ cm2
10000 cm2
100
cm
cm
100

8. Converting Measurements 1
• Hence, we can
conclude that
1 m2 = _________
cm2
10000 cm2
100
cm
cm
100
1 m2
1 m
1 m

9. Converting Measurements 1
• Hence, we can
conclude that
1 m2 = _10000_ cm2
10000 cm2
100
cm
cm
100
1 m2
1 m
1 m

10. Converting Measurements 1 –
Example 1
• A piece of land has an area of 112 m2.
Convert the land area into cm2.

11. Converting Measurements 1 –
Example 1
• A piece of land has an area of 112 m2.
Convert the land area into cm2.
1 m2 = 10000 cm2
112 m2 = 112 × 10000 cm2
= 1 120 000 cm2
The land area is 1 120 000 cm2.
× 10 000
× 10 000

12. Converting Measurements 1 –
TryIt 1
• A basketball court has an area of
420 m2. Convert the area into cm2.

13. Converting Measurements 1 –
TryIt 1
• A basketball court has an area of
420 m2. Convert the area into cm2.
1 m2 = 10000 cm2
420 m2 = 420 × 10000 cm2
= 4 200 000 cm2
The area is 4 200 000 cm2.
× 10 000
× 10 000

14. Converting Measurements 1 –
Example 2
• A whiteboard has a surface area of
66 000 cm2. Convert the area into m2.

15. Converting Measurements 1 –
Example 2
• A whiteboard has a surface area of
66 000 cm2. Convert the area into m2.
1 m2 = 10 000 cm2
66 000 ÷ 10 000 m2 = 66 000 cm2
6.6 m2 = 66 000 cm2
The area is 6.6 m2.
÷ 10 000
÷ 10 000

16. Converting Measurements 1 –
TryIt 2
• A file has a surface area of 928 cm2.
Convert the area into m2.

17. Converting Measurements 1 –
TryIt 2
• A file has a surface area of 928 cm2.
Convert the area into m2.
1 m2 = 10 000 cm2
928 ÷ 10 000 m2 = 928 cm2
0.0928 m2 = 928 cm2
The area is 0.0928 m2.
÷ 10 000
÷ 10 000

18. Converting Measurements 2
• What is the volume of
the cube on the right
in m3?
• ____________ m3
1 m
1 m
1 m

19. Converting Measurements 2
• What is the volume of
the cube on the right
in m3?
• ______1______ m3
1 m
1 m
1 m3
1 m

20. Converting Measurements 2
• We know that
1 m = __________
cm. What is the
length of the same
cube in cm?
cm
cm
cm

21. Converting Measurements 2
• We know that
1 m = ___100___ cm.
What is the length of
the same cube in cm?
cm100
100 cm
cm100

22. Converting Measurements 2
• What is the volume of
the same cube in
cm3?
• Volume of cube
= _______ ×
________ ×
________
= __________ cm3
cm100
100 cm
cm100

23. Converting Measurements 2
• What is the volume of
the same cube in
cm3?
• Volume of cube
= __100__ ×
__100__ × __100__
= _1000000_ cm3
cm100
100 cm
1000000 cm3
cm100

24. Converting Measurements 2
• Hence, we can
conclude that
1 m3 = ________ cm3
1 m
1 m
1 m3
1 m
cm100
100 cm
1000000 cm3
cm100

25. Converting Measurements 2
• Hence, we can
conclude that
1 m3 = 1000000 cm3
1 m
1 m
1 m3
1 m
cm100
100 cm
1000000 cm3
cm100

26. Converting Measurements 2 –
Example 1
• A shipping container has a volume of
90 m3. Convert the volume into cm3.

27. Converting Measurements 2 –
Example 1
• A shipping container has a volume of
90 m3. Convert the volume into cm3.
1 m3 = 1 000 000 cm3
90 m3 = 90 × 1 000 000 cm3
= 90 000 000 cm3
The volume is 90 000 000 cm3.
× 1 000 000
× 1 000 000

28. Converting Measurements 2 –
TryIt 1
• A wardrobe has a volume of 3.16 m3.
Convert the volume into cm3.

29. Converting Measurements 2 –
TryIt 1
• A wardrobe has a volume of 3.16 m3.
Convert the volume into cm3.
1 m3 = 1 000 000 cm3
3.16 m3 = 3.16 × 1000000 cm3
= 3 160 000 cm3
The volume is 3 160 000 cm3.
× 1 000 000
× 1 000 000

30. Converting Measurements 2 –
Example 2
• An inflatable play pool has a volume of 2
420 000 cm3. Convert the volume into m3.

31. Converting Measurements 2 –
Example 2
• An inflatable play pool has a volume of
2 420 000 cm3. Convert the volume into m3.
1 m3 = 1 000 000 cm3
2 420 000 ÷ 1 000 000 m3 = 2 420 000 cm3
2.42 m3 = 2 420 000 cm3
The volume is 2.42 m3.
÷ 1 000 000
÷ 1 000 000

32. Converting Measurements 2 –
TryIt 2
• The volume of a bookshelf is
1 760 000 cm3. Convert the volume into
m3.

33. Converting Measurements 2 –
TryIt 2
• The volume of a bookshelf is
1 760 000 cm3. Convert the volume into m3.
1 m3 = 1 000 000 cm3
1 760 000 ÷ 1 000 000 m3 = 1 760 000 cm3
1.76 m3 = 1 760 000 cm3
The volume is 1.76 m3.
÷ 1 000 000
÷ 1 000 000

34. In this module, you have learnt:
1. how to convert measurements between
cm2 and m2,
1 m2 = 10 000 cm2
–To convert m2 to cm2,
1 m2 = 10 000 cm2
–To convert cm2 to m2,
1 m2 = 10 000 cm2
÷ 10 000
× 10 000

35. In this module, you have learnt:
2. how to convert measurements between
cm3 and m3,
1 m3 = 1 000 000 cm3
–To convert m3 to cm3,
1 m3 = 1 000 000 cm3
–To convert cm3 to m3,
1 m3 = 1 000 000 cm3
÷ 1 000 000
× 1 000 000