Density Conversion (g/cm³ to kg/m³)

Density Conversion Formula:

\[ \rho_{kg/m³} = \rho_{g/cm³} \times 1000 \]

Density in kg/m³:

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1. What is Density Conversion (g/cm³ to kg/m³)?

Definition: This calculator converts density values from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³).

Purpose: It helps scientists, engineers, and students work with density measurements in different unit systems.

2. How Does the Conversion Work?

The conversion uses the formula:

\[ \rho_{kg/m³} = \rho_{g/cm³} \times 1000 \]

Where:

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

Explanation: Since 1 g/cm³ equals 1000 kg/m³, we simply multiply the g/cm³ value by 1000 to get the equivalent in kg/m³.

3. Importance of Density Conversion

Details: Many scientific formulas and engineering calculations require density in specific units. This conversion ensures compatibility across different measurement systems.

4. Using the Calculator

Tips: Enter the density value in g/cm³ (must be > 0). The result will be automatically calculated in kg/m³.

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 1000?
A: Because 1 g = 0.001 kg and 1 cm³ = 0.000001 m³, so (0.001 kg)/(0.000001 m³) = 1000 kg/m³.

Q2: What's the density of water in both units?
A: Water is 1 g/cm³ or 1000 kg/m³ at standard temperature and pressure.

Q3: When would I need this conversion?
A: When working with international standards, scientific literature, or engineering specifications that use different unit systems.

Q4: Can I convert kg/m³ back to g/cm³?
A: Yes, simply divide the kg/m³ value by 1000 to get g/cm³.

Q5: Are there materials with density > 1000 kg/m³?
A: Yes, many metals and dense materials have higher densities (e.g., iron is about 7.87 g/cm³ or 7870 kg/m³).