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Question
State two smaller units of volume. How are they related to the S.I. unit?
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Solution
A smaller unit of volume is cubic centimetre (symbol cm3) and cubic decimetre (symbol 1 dm3). One cubic centimetre is the volume of a cube of each side 1 centimetre, i.e.,
1 cm3 = 1 cm × 1 cm × 1 cm.
Relationship between m3 and cm3
1 m3 = 1 m × 1 m × 1 m
= 100 cm × 100 cm × 100 cm
= 10,00,000 cm3 = 106 cm3.
Relationship between m3 and dm3
1 m3 = 1 m × 1 m × 1 m .
= 10 dm × 10 dm × 10 dm
= 1000 dm
= 103 dm
Note 1 m = 10 dm
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