Density Unit Conversion from g/cm³ to kg/m³

Steps:

• Note that 1 g = 0.001 kg, so multiply density by 0.001 to convert mass units.
• Recognize that 1 cm³ = 10^{-6} m³, so multiply by 10^6 to convert volume units (inversely for density).
• Combine factors: 0.001 × 10^6 = 1000, so multiply original density by 1000.
• Calculate: 2 g/cm³ × 1000 = 2000 kg/m³.

Why D is correct:

• 1 g/cm³ = 1000 kg/m³ by the standard density conversion formula, as mass scales by 10^{-3} and volume by 10^{-6}.

Why the others are wrong:

• A: Incorrectly divides by 1000 instead of multiplying.
• B: Applies a partial or erroneous factor like 0.1.
• C: Applies no conversion, keeping units mismatched.

Final answer: D