Convert 1 kg/m³ into g/cm³ using dimensional analysis
1 kg/m³ = 0.001 g/cm³. Density is [M L⁻³], so only the powers of mass, length and time decide the factor.
kg/m³ = g/cm³
Step by step
- The dimension of densityDensity has the dimensions [M L⁻³]. Only the powers of M, L and T matter for the conversion.
- The conversion ruleA quantity with dimensions [Ma Lb Tc] has the number n₂ = n₁ [M₁/M₂]ᵃ [L₁/L₂]ᵇ [T₁/T₂]ᶜ in the new system. Here n₂ = n₁ [M₁/M₂] [L₁/L₂]⁻³.
- The size of each base unitM: 1 kilogram (kg) is 1000 gram (g). L: 1 metre (m) is 100 centimetre (cm).
- Put the numbers inn₂ = 1 [1 kg / 1 g] [1 m / 1 cm]⁻³
- Work out each bracket[M₁/M₂] = 1000; [L₁/L₂]⁻³ = 100⁻³ = 10⁻⁶
- Multiplyn₂ = 1 × 1000 × 10⁻⁶ = 0.001
- The answer1 kg/m³ = 0.001 g/cm³
Density, kg per cubic metre to g per cubic centimetre: quick answers
How do you convert kg/m³ to g/cm³?
Density is [M L⁻³]. Multiply by the ratio of each base unit raised to its power in the dimension. That gives 1 kg/m³ = 0.001 g/cm³.
What is 1 kg/m³ in g/cm³?
1 kg/m³ = 0.001 g/cm³.