Finding density and volume

Question

Iron has a density of 7.86g/cm3. Calculate the volume in dL of a piece of iron having a mass of 3.55kg. Express your answer in 3 significant figures.

Answer 1

Learn to use dimensional analysis.

3.55 kg x 1000 g / kg x 1 cm³ / 7.86 g x 1 dL/100 cm³ = 4.52 dL (3 sig. figs.)

note how units cancel leaving you with dL:

kg x g/kg x cm3/g x dL/cm3 = dL