1 g/cm^3 = _________ kg/m^3
I tried converting g to kg and then cm to m, and then dividing. I get the answer 1x10^(-1). When I type in this problem on the internet, many sources say it is 1000. I am very confused as to how this answer was reached.
1 g/cm^3*1kg/1000 g* 100*100*100 cm^3/m^3
= 1000 kg/m^3
you know this anyway because the density of fresh water is about 1 g/cc or 1000kg/m^3
Thank you, but I still don't understand the steps that you took.
Nevermind, thanks!
To convert from grams per cubic centimeter (g/cm^3) to kilograms per cubic meter (kg/m^3), you need to remember the following conversion factors:
1 kilogram = 1000 grams (1 kg = 1000 g)
1 cubic meter = 1,000,000 cubic centimeters (1 m^3 = 1,000,000 cm^3)
To convert, we can follow these steps:
1. Start with the given value: 1 g/cm^3
2. Convert grams to kilograms: Since we know that 1 kilogram is equal to 1000 grams, we divide by 1000:
1 g/cm^3 / 1000 g/kg = 0.001 kg/cm^3
3. Convert cubic centimeters to cubic meters: Since we know that 1 cubic meter is equal to 1,000,000 cubic centimeters, we divide by 1,000,000:
0.001 kg/cm^3 / 1,000,000 cm^3/m^3 = 1x10^(-6) kg/m^3
So, based on the correct conversion, 1 g/cm^3 is equal to 1x10^(-6) kg/m^3, not 1x10^(-1) as you calculated.
The answer you mentioned as 1000 is for converting kilograms per cubic meter (kg/m^3) to grams per cubic centimeter (g/cm^3), which is the inverse conversion.
I hope this explanation helps clarify the confusion!