Calculating Mass of 1 Cubic Meter of Water in Kilograms

[shimizua]

Homework Statement

Assuming that each cubic centimeter of water has a mass of exactly 1.00 g, find the mass of one cubic meter of water in kilograms.

Homework Equations

well i just changed everything from grams to kilograms and cm to m

The Attempt at a Solution

Well if there is 1g in each cubic centimeter then in 1 meter there is 1g right? so then u just need to convert g to kilograms. but when i do it and enter it into the computer the answer comes up as wrong units and i am entering the units as kg/m^3 is that right. also i got .1kg/m^3 so hopefully that is right also

 

[horatio89]

Actually, 1 cubic centimetre cannot be equal to 1 metre. You see, the former is a unit of volume, and the latter is a unit of length, and they cannot be converted to one another.

Now, picture this... if there the mass of water in a cube of 1cm x 1 cm x 1cm (i.e one cubic centimeter) is 1 g, what is the mass of water in a cube of 1 m x 1m x 1m (i.e. one cubic metre)?