1 cubic meter has actually 1000 liters the liquid. Meter is a unit live independence of kilogram.

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Then why does 1 liter of water in ~ max density (4 °C) have actually a fixed of 1 kg? Is the a only coincidence?

It is not a coincidence. Together the Wikipedia post on the Litre says:

One litre the water has a fixed of almost exactly one kilogram as soon as measured at its maximal density, which wake up at around 4 °C. Similarly: one millilitre (1 mL) of water has actually a massive of about 1 g; 1,000 litres the water has actually a fixed of around 1,000 kg (1 tonne). This connection holds due to the fact that the gram to be originally identified as the massive of 1 mL the water; however, this meaning was abandoned in 1799 since the thickness of water changes with temperature and, really slightly, v pressure.

1 liter that water amounts to $1\ \mathrmkg$ weight.1 liter of water is also the same as $1000\ \mathrmcm^3$ i.e. Cubic centimeter ($10\ \mathrmcm\times10\ \mathrmcm\times10\ \mathrmcm$ in volume) and1 liter is the same as 1 cubic decimeter (10 centimeters is 1 decimeter).

Therefore 1 cubic meter volume is the same as 1000 cubic decimeter or 1000 liters and also that is why 1000 liters the water weighs $1000\ \mathrmkg$ or 1 ton.Similarly, $1\ \mathrmcm^3$ is the same as $1\ \mathrmml$ and also weighs $1\ \mathrm g$ of water.

It is no a just coincidence yet a simple equivalence measurement between the Metric system and the SI system of measurements.

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