Final answer:
The density of lead is converted from g/cm³ to kg/m³ by multiplying the given density (30.2 g/cm³) by 1000, resulting in a density of 30200 kg/m³.
Step-by-step explanation:
The density of a substance is expressed as the mass per unit volume. To convert the density from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), we use the conversion factors 1 kg = 1000 g and 1 m = 100 cm. Given the density of lead is 30.2 g/cm³, we can calculate its density in kg/m³ as follows:
1 g/cm³ = 1 g / (1/100 m)³ = 1 g / (1/1000000 m³) = 1000 kg / 1000000 m³ = 1 kg/m³
So, converting 30.2 g/cm³ to kg/m³:
30.2 g/cm³ = 30.2 × 1 kg/m³ = 30.2 × 1000 kg/m³ = 30200 kg/m³.
Therefore, the density of lead in kilograms per cubic meter is 30200 kg/m³.