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1 dm3 = 1 kg wt.
1 kg wt. = 1 dm3
Definition of cubic decimeters of water provided by TheFreeDictionary
Cubic decimeter is a metric unit of capacity, formerly defined as the volume of one kilogram of pure water under standard conditions; now equal to 1,000 cubic centimeters (or approximately 1.75 pints). Synonymous: cubic decimeter.
Definition of kilogram of water provided by WikiPedia
The kilogram or kilogramme (SI unit symbol: kg), is the base unit of mass in the International System of Units (SI) (the Metric system) and is defined as being equal to the mass of the International Prototype of the Kilogram (IPK).