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## 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?