1. What is g/cm³ to kg/m³ Conversion?

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

Purpose: It helps scientists, engineers, and students convert between these common density units used in different measurement systems.

2. How Does the Conversion Work?

The conversion uses the formula:

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 kg/m³ value.

3. Importance of Density Unit Conversion

Details: Different fields use different density units - physics often uses g/cm³ while engineering prefers kg/m³. Conversion ensures consistency in calculations and communication.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 1000?
A: Because 1 kg = 1000 g and 1 m³ = 1,000,000 cm³, the conversion simplifies to 1000 (1,000,000 / 1000).

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

Q3: Are there materials with density over 1 g/cm³?
A: Yes, many metals have higher densities (e.g., iron ~7.87 g/cm³, gold ~19.32 g/cm³).

Q4: When would I need to make this conversion?
A: When working with international standards, scientific papers, or engineering specifications that use different unit systems.

Q5: Is this conversion exact?
A: Yes, the conversion factor is mathematically exact, though measured densities may have experimental uncertainty.