kg/m³ to g/cm³ Converter

How to convert kg/m³ to g/cm³

Both kilograms per cubic meter (kg/m³) and grams per cubic centimeter (g/cm³) are density units. They differ only by powers of 10, so the conversion is very simple.

Why is the factor 1000?

• 1 g = 0.001 kg
• 1 cm = 0.01 m → \(1 \text{ cm}^3 = (0.01 \text{ m})^3 = 10^{-6} \text{ m}^3\)

So:

\(1 \text{ g/cm}^3 = \dfrac{0.001 \text{ kg}}{10^{-6} \text{ m}^3} = 1000 \text{ kg/m}^3\)

Therefore:

• 1 g/cm³ = 1000 kg/m³
• 1 kg/m³ = 0.001 g/cm³

Step-by-step example: 2500 kg/m³ to g/cm³

1. Start with the value: 2500 kg/m³
2. Divide by 1000: 2500 ÷ 1000 = 2.5
3. Attach the new unit: 2.5 g/cm³

Step-by-step example: 0.8 g/cm³ to kg/m³

1. Start with the value: 0.8 g/cm³
2. Multiply by 1000: 0.8 × 1000 = 800
3. Attach the new unit: 800 kg/m³

Common densities in kg/m³ and g/cm³

These approximate values are useful checks for your conversions:

FAQ

Is kg/m³ or g/cm³ more common?

In engineering and physics, kg/m³ is standard (SI unit). In chemistry, materials science, and lab work, g/cm³ is often preferred because values are typically between 0 and 20 and are easier to read.

How many g/cm³ is 1000 kg/m³?

Using the formula g/cm³ = kg/m³ ÷ 1000:

1000 kg/m³ ÷ 1000 = 1 g/cm³.

How many kg/m³ is 1.5 g/cm³?

Using the formula kg/m³ = g/cm³ × 1000:

1.5 g/cm³ × 1000 = 1500 kg/m³.

How can I avoid mistakes when converting?

• Remember: divide by 1000 when going from kg/m³ to g/cm³.
• Remember: multiply by 1000 when going from g/cm³ to kg/m³.
• Check against a known value, like water: 1000 kg/m³ ↔ 1 g/cm³.