Final answer:
To convert the density of osmium from kg/m³ to g/cm³, multiply 22,610 kg/m³ by 1000 to convert to grams, and divide by 1,000,000 to convert cubic meters to cubic centimeters, resulting in 22.61 g/cm³. (option A is the correct answer)
Step-by-step explanation:
The question involves converting the density of osmium from kilograms per cubic meter (kg/m³) to grams per cubic centimeter (g/cm³). To perform this conversion, we consider that 1 kg is 1000 grams (g) and that 1 m³ is 1,000,000 cm³ (since 1 m = 100 cm, and cubing both sides gives 1 m³ = 1,000,000 cm³).
Starting with the given density of osmium, 22,610 kg/m³, we multiply by 1000 to convert kilograms to grams, giving us 22,610,000 g/m³. Then, we divide by 1,000,000 to convert cubic meters to cubic centimeters, which results in a density of 22.61 g/cm³. Therefore, the correct answer to the student's question is A. 22.61 g/cm³.
The density of osmium is 22,610 kg/m³, and after conversion, it is accurately represented as 22.61 g/cm³, confirming the correct choice as option A