Conversion grams per cubic centimeter to kilograms per cubic meter, g/cm³ to kg/m³.

The conversion factor is 1000; therefore, 1 gram per cubic centimeter = 1000 kilograms per cubic meter. In other words, to convert a value in g/cm³ to kg/m³, multiply by the value by 1000. The calculator answers the questions such as: How many kg/m³ is 20 g/cm³? or How to convert g/cm³ to kg/m³. This is a density unit conversion from g/cm³ to kg/m³.

Conversion result:

1 g/cm³ = 1000 kg/m³

1 gram per cubic centimeter is 1000 kilograms per cubic meter.

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g/cm³

The density (the volumetric mass density, specific mass) of a substance is its mass per unit volume. The symbol for density is ρ (Greek letter rho). Density is defined as mass divided by volume. The formula is ρ = m/V, where m = mass and V is volume. The basic SI density unit is kg/m³

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To convert a density value from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), you can use the following conversion factor:

$1{\text{g/cm}}^3=1000{\text{kg/m}}^3$

Explanation:

1. Units of mass:
- $1\text{kg}=1000\text{g}$, so $1\text{g}=0.001\text{kg}$.

2. Units of volume:
- $1{\text{m}}^3=1,000,000{\text{cm}}^3$ (since $1\text{m}=100\text{cm}$, and volume scales as ${\text{length}}^3$).

3. Combining the conversions:
- $1{\text{g/cm}}^3=\frac{1\text{g}}{1{\text{cm}}^3}$.
- Convert grams to kilograms: $1\text{g}=0.001\text{kg}$.
- Convert cubic centimeters to cubic meters: $1{\text{cm}}^3=10^{-6}{\text{m}}^3$.
- Substitute these into the density formula:
$1{\text{g/cm}}^3=\frac{0.001\text{kg}}{10^{-6}{\text{m}}^3}=1000{\text{kg/m}}^3.$

Example:

If the density of a material is $2.7{\text{g/cm}}^3$, its density in ${\text{kg/m}}^3$ is:
$2.7{\text{g/cm}}^3\times 1000=2700{\text{kg/m}}^3.$

Thus, $1{\text{g/cm}}^3=1000{\text{kg/m}}^3$.

Conversion of a density unit in word math problems and questions

• Density - Au
  What volume is 1/2 kg of gold? The density of gold is 19.3 kg/dm³.
• Liter of gold
  What weight does one dm³ of gold have? Gold density is 19,300 kg/m³
• Density - simple example
  Material of density of 1189 kg/m³ occupies a container volume of 64 cm³. What is its mass?
• Kerosene in the bottle
  The volume of kerosene in the bottle is 10 cm³. Find the weight of the fluid. (its density is ρ = 830 kg/m³)

• Aluminum - density
  The density of aluminum is 2,700 kg/m³. Calculate the mass of an aluminum cube with a volume of 80 cm³!

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