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Question

How is Cubic centimetre and cubic millimetre related to the s i unit of volume?

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Solution

The S.I unit is m3
  • The conversion factor between cm3 to m3 is
1,000,000 cm3 = 1 m3
or
106 cm3 = 1 m3
How do you get that? Start with the conversion from cm to m.
100 cm = 1 m
A cubic meter is a cube 1 meter wide, 1 meter deep and 1 meter tall.
1 m3 = 1 m x 1 m x 1 m
Substitute the conversion factor for meter to centimeter
1 m3 = (100 cm) x (100 cm) x (100 cm)
1 m3 = 1,000,000 cm3 = 106 cm3
  • Similarly mm3 to m3
1,000,000,000 mm3 = 1 m3
or
109 mm3 = 1 m3
How do you get that? Start with the conversion from mm to m.
1000 mm = 1 m
A cubic meter is a cube 1 meter wide, 1 meter deep and 1 meter tall.
1 m3 = 1 m x 1 m x 1 m
Substitute the conversion factor for meter to centimeter
1 m3 = (1000 mm) x (1000 mm) x (1000 mm)
1 m3 = 1,000,000,000 mm3 = 109 mm3

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