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g/cm³ to kg/m³ Converter - g/cm³ to kg/m³ Calculator

What is g/cm³ to kg/m³ Conversion

g/cm³ to kg/m³ conversion is a unit transformation for density, where grams per cubic centimeter (g/cm³) is converted to kilograms per cubic meter (kg/m³). This is a common conversion in physics and engineering, as both units measure mass per unit volume but differ in scale. The conversion factor is based on the relationships between grams and kilograms (1 g = 0.001 kg) and cubic centimeters and cubic meters (1 cm³ = 0.000001 m³), resulting in \(1 \, \text{g/cm³} = 1000 \, \text{kg/m³}\).

For example, a density of 1 g/cm³ converts to 1000 kg/m³.

How to Convert g/cm³ to kg/m³

Conversion Formula: The density in kg/m³ is calculated as:

\(\rho_{\text{kg/m³}} = \rho_{\text{g/cm³}} \times 1000\)

Where:

  • \(\rho_{\text{kg/m³}}\) = Density in kilograms per cubic meter
  • \(\rho_{\text{g/cm³}}\) = Density in grams per cubic centimeter

Example Calculation: For a density of 1.5 g/cm³:

  1. \(\rho_{\text{kg/m³}} = 1.5 \times 1000 = 1500 \, \text{kg/m³}\).

Use the form above to input the density in g/cm³, and the calculator will convert it to kg/m³.

Density Units and Conversions

The calculator converts between the following density units:

  • Grams per cubic centimeter (g/cm³): Base input unit
  • Kilograms per cubic meter (kg/m³): 1 g/cm³ = 1000 kg/m³

Other common conversions include:

  • 1 g/cm³ = 1000 kg/L
  • 1 g/cm³ = 1000 g/L
  • 1 g/cm³ = 62.4279 lb/ft³

Standard Density Examples

Some standard densities include:

  • Water at 4 °C: \(\rho \approx 1.000 \, \text{g/cm³} = 1000 \, \text{kg/m³}\)
  • Gold: \(\rho \approx 19.32 \, \text{g/cm³} = 19320 \, \text{kg/m³}\)
  • Air at sea level: \(\rho \approx 0.001225 \, \text{g/cm³} = 1.225 \, \text{kg/m³}\)

Use this calculator to convert these values or your own measurements.

FAQs

How do you convert g/cm³ to kg/m³?

To convert g/cm³ to kg/m³:

  1. Take the density value in g/cm³.
  2. Multiply by 1000 (since \(1 \, \text{g/cm³} = 1000 \, \text{kg/m³}\)).

What is the density of water in kg/m³ if it is 1 g/cm³?

The density is \(1 \times 1000 = 1000 \, \text{kg/m³}\).

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