Converting cubic cm to cubic m and kg/m^3 to g/cm^3 etc

  • Thread starter Cliff Hanley
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In summary: So g / cm^3 and g⋅cm-3 are equivalent.The reason for using g⋅cm-3 instead of g/cm^3 in some situations could be due to spacing or formatting preferences. Both symbols are accepted and understood to mean the same thing.
  • #1
Cliff Hanley
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Is the following correct?

To convert cubic cm to cubic m we divide the cubic cms by 10^6, eg, 1cm^3 = 1/1,000,000th of 1m^3.. This is because we could fit 10^6 cubes, each measuring 1cm x 1cm x 1cm into a larger cube measuring 1m x 1m x 1m.
 
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  • #2
Is the following correct?

If the density of Osmium is 22.59 g / cm^3, it's converted density is 22.59 g x 10^6, ie, 2,2590 kg / m^3.

This is because we could fit 10^6 cubes of Osmium, each measuring 1cm x 1cm x 1cm, into a larger cube measuring 1m x 1m x 1m (because there are 10^6 cubic cm in 1 cubic metre).
 
  • #3
And, finally, is the following correct;

H2O (at 4 degrees C) has a density of 1kg / L. Another way of putting this is 1kg / 1000ml; or 1kg / 1000cm^3; or, 1kg / 0.001m^3; or 1kg / 10^-3 m^3. And its density converted to g / cm^3 is 1g / cm^3.

1 ml = 1cm^3.

There are 1000 litres in 1m^3.
 
  • #4
Cliff Hanley said:
If the density of Osmium is 22.59 g / cm^3, it's converted density is 22.59 g x 10^6, ie, 2,2590 kg / m^3.
That should be g.cm-3 . The rest is fine .

Hope this helps .
 
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  • #5
Cliff Hanley said:
Is the following correct?

If the density of Osmium is 22.59 g / cm^3, it's converted density is 22.59 g x 10^6, ie, 2,2590 kg / m^3.

This is because we could fit 10^6 cubes of Osmium, each measuring 1cm x 1cm x 1cm, into a larger cube measuring 1m x 1m x 1m (because there are 10^6 cubic cm in 1 cubic metre).
The density of osmium is 22.59 g / cc = 22,590 kg / m3. Be careful where you put the (,).
 
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  • #6
Cliff Hanley said:
Is the following correct?

To convert cubic cm to cubic m we divide the cubic cms by 10^6, eg, 1cm^3 = 1/1,000,000th of 1m^3.. This is because we could fit 10^6 cubes, each measuring 1cm x 1cm x 1cm into a larger cube measuring 1m x 1m x 1m.
Yes, There are 100 cm in a m so (100)^2= 10000= 10^4 square cm in a square meter and (100)^3= 1000000= 10^6 cubic cm in a cubic meter.

Is the following correct?

If the density of Osmium is 22.59 g / cm^3, it's converted density is 22.59 g x 10^6, ie, 2,2590 kg / m^3.

This is because we could fit 10^6 cubes of Osmium, each measuring 1cm x 1cm x 1cm, into a larger cube measuring 1m x 1m x 1m (because there are 10^6 cubic cm in 1 cubic metre).
Yes, Since there are 10^6 cubic centimeters in a cubic meter, 22.59 g/cm^2= 22.59 x 10^6 g/m^3 and, since there are 1000= 10^3 g in a kilogram, (22.59 x 10^6)/10^3= 22.59 x 10^(6- 30= 22.59 X 10^3= 22590 kg/m^3.

And, finally, is the following correct;

H2O (at 4 degrees C) has a density of 1kg / L. Another way of putting this is 1kg / 1000ml; or 1kg / 1000cm^3; or, 1kg / 0.001m^3; or 1kg / 10^-3 m^3. And its density converted to g / cm^3 is 1g / cm^3.

1 ml = 1cm^3.

There are 1000 litres in 1m^3.
Yes, those are all true.
 
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  • #7
Qwertywerty said:
That should be g.cm-3 . The rest is fine .

Hope this helps .

The few sites I've checked out use g/cm^3. Wiki says, "The official SI symbols are g/cm3, g·cm−3, or g cm−3."
Q. What exactly does g.cm-3 mean? And what's the difference between it and g/cm^3?

And yes, it does help, as ever. Thank you.
 
  • #8
SteamKing said:
The density of osmium is 22.59 g / cc = 22,590 kg / m3. Be careful where you put the (,).

Thanks. Wiki gives it as g/cm^3 but I'm aware that Wiki doesn't always get it right.
 
  • #9
Cliff Hanley said:
The few sites I've checked out use g/cm^3. Wiki says, "The official SI symbols are g/cm3, g·cm−3, or g cm−3."
Q. What exactly does g.cm-3 mean? And what's the difference between it and g/cm^3?

And yes, it does help, as ever. Thank you.
g⋅cm-3 is the same as grams / cubic cm. or g / cc.

An exponent of -3, as in cm-3, is the same as 1 / cm3
 

FAQ: Converting cubic cm to cubic m and kg/m^3 to g/cm^3 etc

1. How do I convert cubic centimeters (cm^3) to cubic meters (m^3)?

To convert from cm^3 to m^3, divide the number of cm^3 by 1,000,000. This is because there are 1,000,000 cubic centimeters in 1 cubic meter. For example, if you have 500 cm^3, the conversion would be 500/1,000,000 = 0.0005 m^3.

2. What is the formula for converting kg/m^3 to g/cm^3?

The formula for converting from kg/m^3 to g/cm^3 is to multiply the value in kg/m^3 by 0.001. This is because there are 1000 grams in 1 kilogram and 100 cm in 1 m. For example, if you have a density of 2 kg/m^3, the conversion would be 2 x 0.001 = 0.002 g/cm^3.

3. Is it possible to convert cubic meters to grams?

No, it is not possible to convert directly from cubic meters to grams. Cubic meters measure volume while grams measure mass. In order to convert between the two, you would need to know the density of the substance in question. Then you could use the formula density = mass/volume to find the mass in grams.

4. Can I convert cubic centimeters to grams?

No, you cannot convert directly from cubic centimeters to grams for the same reason as above. You would need to know the density of the substance in question in order to make the conversion.

5. How do I convert kg/m^3 to lb/ft^3?

To convert from kg/m^3 to lb/ft^3, you will first need to convert kg to pounds and m^3 to ft^3. 1 kg is equal to 2.20462 pounds and 1 m^3 is equal to 35.3147 ft^3. So, the conversion would be (kg/m^3) x (2.20462 lb/kg) x (1 m^3/35.3147 ft^3) = (kg/m^3) x 0.06243 lb/ft^3. For example, if you have a density of 1 kg/m^3, the conversion would be 1 x 0.06243 = 0.06243 lb/ft^3.

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