What is kg/m³ to g/cm³ Conversion

kg/m³ to g/cm³ conversion is a unit transformation for density, converting kilograms per cubic meter (kg/m³) to grams per cubic centimeter (g/cm³). This conversion is useful in scientific and engineering contexts, bridging large-scale metric units (kg/m³) to smaller-scale units (g/cm³) commonly used for liquids and solids. The conversion factor is derived from the relationships between kilograms and grams (1 kg = 1000 g) and cubic meters and cubic centimeters (1 m³ = 1,000,000 cm³), resulting in \(1 \, \text{kg/m³} = 0.001 \, \text{g/cm³}\).

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

How to Convert kg/m³ to g/cm³

Conversion Formula: The density in g/cm³ is calculated as:

\(\rho_{\text{g/cm³}} = \rho_{\text{kg/m³}} \times 0.001\)

Where:

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

Example Calculation: For a density of 1500 kg/m³:

1. \(\rho_{\text{g/cm³}} = 1500 \times 0.001 = 1.5 \, \text{g/cm³}\).

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

Density Units and Conversions

The calculator converts between the following density units:

• Kilograms per cubic meter (kg/m³): Base input unit
• Grams per cubic centimeter (g/cm³): 1 kg/m³ = 0.001 g/cm³

Other common conversions include:

• 1 kg/m³ = 0.001 kg/L
• 1 kg/m³ = 0.0000361273 lb/in³
• 1 g/cm³ = 1000 kg/m³

Standard Density Examples

Some standard densities include:

• Water at 4 °C: \(\rho \approx 1000 \, \text{kg/m³} = 1.0000 \, \text{g/cm³}\)
• Gold: \(\rho \approx 19320 \, \text{kg/m³} = 19.3200 \, \text{g/cm³}\)
• Air at sea level: \(\rho \approx 1.225 \, \text{kg/m³} = 0.001225 \, \text{g/cm³}\)

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

FAQs

How do you convert kg/m³ to g/cm³?

To convert kg/m³ to g/cm³:

1. Take the density value in kg/m³.
2. Multiply by 0.001 (since \(1 \, \text{kg/m³} = 0.001 \, \text{g/cm³}\), based on 1 kg = 1000 g and 1 m³ = 1,000,000 cm³).

What is the density of water in g/cm³ if it is 1000 kg/m³?

The density is \(1000 \times 0.001 = 1.0000 \, \text{g/cm³}\).

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