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

1. Aug 21, 2015

### Cliff Hanley

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.

2. Aug 21, 2015

### Cliff Hanley

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. Aug 21, 2015

### Cliff Hanley

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. Aug 21, 2015

### Qwertywerty

That should be g.cm-3 . The rest is fine .

Hope this helps .

5. Aug 21, 2015

### SteamKing

Staff Emeritus
The density of osmium is 22.59 g / cc = 22,590 kg / m3. Be careful where you put the (,).

6. Aug 21, 2015

### HallsofIvy

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.

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.

Yes, those are all true.

7. Aug 24, 2015

### Cliff Hanley

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. Aug 24, 2015

### Cliff Hanley

Thanks. Wiki gives it as g/cm^3 but I'm aware that Wiki doesn't always get it right.

9. Aug 24, 2015

### SteamKing

Staff Emeritus
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