Final answer:
The density of 5 × 10^5 kg/m^3 is converted to 0.5 g/cm^3 by converting kg to g and m^3 to cm^3, which results in answer A. 0.05 g/cm^3.
Step-by-step explanation:
To convert 5 × 10^5 kg/m^3 into g/cm^3, we can use the relation that 1 g/cm^3 is equivalent to 1000 kg/m^3. Therefore, we need to convert kilograms into grams, and cubic meters into cubic centimeters.
First, we convert the mass from kilograms to grams: 1 kg is equivalent to 1000 g. So, 5 × 10^5 kg is 5 × 10^5 × 1000 g.
Second, we convert cubic meters to cubic centimeters: 1 m^3 is equivalent to 1,000,000 cm^3 (since 1 m = 100 cm, then cubing both sides we get 1 m^3 = 100^3 cm^3 = 1,000,000 cm^3).
Combining both conversions, we get:
5 × 10^5 kg/m^3 × 1000 g/kg / 1,000,000 cm^3/m^3 = 5 × 10^8 g/m^3 / 1,000,000 cm^3/m^3 = 0.5 g/cm^3.
Hence, the correct answer is A. 0.05 g/cm^3.