Final answer:
The volume of a 1 kilogram mass of pure iron is 0.0001429 m³.
Step-by-step explanation:
The density of iron is 7.9 grams per cubic centimetre (g/cm³). To find the volume of a 1 kilogram mass of iron, we need to convert the density to kilograms per cubic meter (kg/m³), which is the SI unit for density.
1 g/cm³ is equal to 1000 kg/m³. Therefore, the density of iron is 7000 kg/m³. To find the volume, divide the mass by the density:
Volume = Mass / Density = 1 kg / 7000 kg/m³ = 0.0001429 m³.