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There can be no equivalence.

A gram is a measure of mass. A cubic decimetre = 1 litre is a measure of volume. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid.

If you are not convinced, consider a litre of air. How many grams? Next consider a litre of Mercury. How many grams?

The masses of equal volumes of the two substances will clearly be very different. So there is no direct conversion between mass and volume: you need to know the density of the substance to enable you to carry out the conversion.

Many people believe that there is an exact conversion for pure water: that is not true. It is only an approximation and that has been the case since 1964 - FIFTY YEARS AGO - when the definition of the litre was changed.

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Q: How do you convert from dm3 to g?
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1 liter is 1 dm3


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