Given: Density of acetone = 790 kg m⁻³
To convert: 790 kg/m³ to g/cm³
1 kg = 1,000 g and 1 m³ = 10⁶cm³.
Conversion factor for density
1.0 kg m⁻³ = 1000 g / 10⁶cm³ = 10⁻³ g cm⁻³
Density of acetone = 790 kg m⁻³
Density of acetone = 790 kg m⁻³× ( 10⁻³ g cm⁻³ / 1.0 kg m⁻³)
Density of acetone = 790 × 10⁻³ g cm⁻³
Density of acetone = 0.790 g cm⁻³
Hence, the density of acetone in g cm⁻³ will be 0.790 g cm⁻³.