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Question

Iron has a density of 7.86 g/cm37.86 g/cm3 (1 cm3=1 mL1 cm3=1 mL). Calculate the volume (in dLdL) of a piece of iron having a mass of 4.96 kgkg . Note that the density is provided in different units of volume and mass than the desired units of volume (dLdL) and the given units of mass (kgkg). You will need to express the density in kg/dLkg/dL (1 cm3 = 1 mL1 cm3 = 1 mL) before calculating the volume for the piece of iron. Express answer to three significant figures.

Answer 1

You don't have to express density in kg/dL as you can use the density in g/ml and then convert to dL at the end, which is what I will do below.

4.96 kg x 1000 g / kg x 1 ml / 7.86 g = 631.0 mls

Now we convert 631 mls to dL:

631 mls x 1 dL / 0.1 L = 6310 dL (3 sig. figs.)