# Metric conversion

1. Feb 11, 2010

### leroyjenkens

1. The problem statement, all variables and given/known data

I have no idea how they got this answer. It says "doing the division gives you..." What division? It doesn't tell me what has been divided. The centimeters into grams? I can't find any plausible division that would give me .002 for an answer. I've been staring at this for an hour.

2. Feb 11, 2010

### jhae2.718

It's basic dimensional analysis. The unit conversion factors used are:
1 kg = 1000 g
1 m= 100 cm thus 1 m3 = 1 x 106 cm3

Multiply/divide the original expression by these factors so that the kg and m units cancel out and you'll get the answer shown.

3. Feb 12, 2010

### leroyjenkens

I keep coming up with .02 as an answer, not .002. I must be setting up the multiplication/division equation wrong.
I multiply the 1000g times 20kg to get 20,000g and divide it by 10^6 centimeters?

4. Feb 12, 2010

### jhae2.718

5. Feb 12, 2010

### collinsmark

I think you are doing it correctly. Problem with book's answer.

6. Feb 12, 2010

### Redbelly98

Staff Emeritus