State two smaller units of volume. How are they related to the S.I. un

1.	State two smaller units of volume. How are they related to the S.I. unit?
Answer» 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 1m³ = 1m × 1m × 1m = 100 cm × 100 cm × 100 cm = 10,00,000 cm³ = 106 cm³. Relationship between m³ and dm³ 1 m³ = 1m × 1 m × 1 m = 10 dm × 10 dm × 10 dm = 1000 dm = 10³ dm Note 1 m = 10 dm

State two smaller units of volume. How are they related to the S.I. unit?

Answer»

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

1m³ = 1m × 1m × 1m

= 100 cm × 100 cm × 100 cm

= 10,00,000 cm³ = 106 cm³.

Relationship between m³ and dm³

1 m³ = 1m × 1 m × 1 m = 10 dm × 10 dm × 10 dm = 1000 dm = 10³ dm

Note 1 m = 10 dm

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