Question

Iron has a density of 7.86 g/cm3 (1 cm3=1 mL). Calculate the volume (in dL) of a piece of iron having a mass of 3.67 kg . Note that the density is provided in different units of volume and mass than the desired units of volume (dL) and the given units of mass (kg). You will need to express the density in kg/dL (1 cm3 = 1 mL) before calculating the volume for the piece of iron

Answer 1

7.86 g / 1 mL
divide g by 1000 for kg and divide mL by 100 for dL

0.00786 kg / 0.01 dL = 0.786 kg/dL (density)

3.67 kg / 0.786 dL = 4.6692 dL

Another approach:

3.67kg > (3.67kg x 1000) = 3670 grams
3670 grams / 7.86 (density) = 466.92 mL
466.92 mL (divide by 100 for dl) = 4.6692 dL