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If you know the density of aluminum, you can determine the volume of a specific mass of aluminum. Aluminum has a density of 2.70g/cm3.
Density = mass/volume. If we know any two variables, we can manipulate the density equation to find the third variable. In this case, we know mass and density, so to find the volume, do the following calculation:
Volume = mass/density
Volume Al = (27g Al)/(2.70g/cm3 Al) = 10cm3 Al. So, 27g of Al has a volume of 10cm3. *
* This answer should technically have two significant figures. As written, it only has one, because trailing zeroes without a decimal are not significant. We can indicate two significant figures by writing it in scientific notation as 1.0 x 101cm3, or we can write it with a decimal as 10. cm3.
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