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The density of an object is 9.67 g/cm^3. What is the volume of the object if the mass is 8.77 g?
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Let's look at our units here. \[\rm Density = {g \over cm^3} = {mass \over volume}\]We can easily manipulate these units to come up with a way to get a volume from a known density and mass. If\[\rho = {m \over V}\]then\[V = {m \over \rho}\]where m is the mass, V is the volume, and \(\rho\) is the density.
I don´t really understand.
Okay. We are treating the units here just like we would algebraic variables. So if density, \(\rho\) is defined as\[\rho = {m \over V}\]We know mass, m, and density, \(\rho\). Therefore, we can solve for V. \[V = {m \over \rho}\]right?
yes
so i divide 9.67 by 8.77
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