Converting Units: Solving a Simple Density Problem

[Psip]

Homework Statement

The density of water is given to be 1000kg/m^3 use unit conversion to show a cube of water with a side length of 10cm has a mass of 1kg.

Homework Equations

mass=volume x density

The Attempt at a Solution

1000kg/m^3*1000cm^3*1m/100cm*1m/100cm*1m/100cm=.01kg all meters and centimeters should cancel only leaving kilograms and the 1000cm^3 is the volume of the cube if each side is 10cm. So if you use the formula and multiply the volume and density then cancel the length units I should get 1kg according to the book but I'm 10 times too small. What did I do wrong?

 

[Bystander]

Try separating the operations with parentheses. Might help to put away the calculator --- it's all powers of 10.

 

[Psip]

Thanks for the reply but I tried that and I still get the wrong answer

 

[Bystander]

One step at a time, then; "100x100?"

 

[Psip]

Ah yes I see thanks for your help the actual problem was that when I did 10000/100 it gives 100 but I thought that I didn't hit the button because it looks like the 100 never changed so it was a weird mistake on my part.