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First of all, the word normal is redundant since all cubic metres are normal. There is, however, no conversion possible.

A kilogram is a measure of mass. A cubic metre 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 cubic metre of air. How many kilograms? Next consider a cubic metre of lead. How many kilograms?

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.

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Q: How do you convert normal cubic meter to kg?
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