How many cubic meter in 5000 kg?

Answer 1

50 million liters

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Solution Method:

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1 m = 100 cm

1 cm^3 = 1 mL

1 L = 1,000 mL

Therefore:

"a cubic metre" = 1 m * 1 m * 1 m = 100 cm * 100 cm * 100 cm

1 m^3 = 1,000,000 cm^3

(since 1 mL = 1 cm^3, we get the following)

1 m^3 = 1,000,000 cm^3 * (1 mL / 1 cm^3) (Note: cm^3 cancel)

1 m^3 = 1,000,000 mL

1 m^3 = 1,000,000 mL * (1 L / 1,000 mL) (Note: mL cancel)

1 m^3 = 1,000 L

^ This means:

1 cubic metre = 1,000 liters

Since the question asks: "How many litres make 50000 cubic meters, we must multiple both sides of the equation by 50,000 times as follows:

50,000 * 1 m^3 = 1,000 L * 50,000

50,000 m^3 = 50,000,000 L

^ This means:

50,000 cubic metres = 50 million liters

Answer 2

There is no equivalence.

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.

Some people still believe that there is a conversion in relation to pure water but that is only approximately true. Until 1964 (nearly 50 year ago!) a litre was defined as the volume of one kilogram of pure water at 4 degrees Celsius and at a pressure of 760 millimetres of Mercury. With that definition a conversion would have been valid - but only for pure water and only under those conditions. In any case that definition of a litre was abandoned in favour of 1 litre =1000 cubic centimetres.

In fact the density of pure water, at 4 deg C and 760 ml of mercury is 999.9720 kg/metre3