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In this module, you will learn how
to convert measurements
between cm2 and m2 and
between cm3 and m3.
Converting Measurements 1
• What is the area of
the square on the
right in m2?
• ____________ m2
1 m
1 m
Converting Measurements 1
• What is the area of
the square on the
right in m2?
• ______1______ m2
1 m2
1 m
1 m
Converting Measurements 1
• We know that
1 m = __________
cm. What is the
length of the same
square in cm?
cm
cm
Converting Measurements 1
• We know that
1 m = ___100___ cm.
What is the length of
the same square in
cm?
100
cm
cm
100
Converting Measurements 1
• What is the area of
the same square in
cm2?
• Area of square
= _______ ×
________
= _______ cm2
100
cm
cm
100
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
Converting Measurements 1
• Hence, we can
conclude that
1 m2 = _________
cm2
10000 cm2
100
cm
cm
100
1 m2
1 m
1 m
Converting Measurements 1
• Hence, we can
conclude that
1 m2 = _10000_ cm2
10000 cm2
100
cm
cm
100
1 m2
1 m
1 m
Converting Measurements 1 –
Example 1
• A piece of land has an area of 112 m2.
Convert the land area into cm2.
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
Converting Measurements 1 –
TryIt 1
• A basketball court has an area of
420 m2. Convert the area into cm2.
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
Converting Measurements 1 –
Example 2
• A whiteboard has a surface area of
66 000 cm2. Convert the area into m2.
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
Converting Measurements 1 –
TryIt 2
• A file has a surface area of 928 cm2.
Convert the area into m2.
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
Converting Measurements 2
• What is the volume of
the cube on the right
in m3?
• ____________ m3
1 m
1 m
1 m
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
Converting Measurements 2
• We know that
1 m = __________
cm. What is the
length of the same
cube in cm?
cm
cm
cm
Converting Measurements 2
• We know that
1 m = ___100___ cm.
What is the length of
the same cube in cm?
cm100
100 cm
cm100
Converting Measurements 2
• What is the volume of
the same cube in
cm3?
• Volume of cube
= _______ ×
________ ×
________
= __________ cm3
cm100
100 cm
cm100
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
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
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
Converting Measurements 2 –
Example 1
• A shipping container has a volume of
90 m3. Convert the volume into cm3.
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
Converting Measurements 2 –
TryIt 1
• A wardrobe has a volume of 3.16 m3.
Convert the volume into cm3.
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
Converting Measurements 2 –
Example 2
• An inflatable play pool has a volume of 2
420 000 cm3. Convert the volume into m3.
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
Converting Measurements 2 –
TryIt 2
• The volume of a bookshelf is
1 760 000 cm3. Convert the volume into
m3.
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
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
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

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2015 math 2_nt_converting measurements_e-learning

  • 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