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 80 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

• Volume of gasoline
  There is 1200 kg of gasoline in the tank. The density of gasoline is 0.75 g/cm³. Calculate the volume of gasoline.
• Density - Au
  What volume is 1/2 kg of gold? The density of gold is 19.3 kg/dm³.
• Aluminum - density
  The density of aluminum is 2,700 kg/m³. Calculate the mass of an aluminum cube with a volume of 80 cm³!
• Calculate 73134
  The wooden prism weighs 5 kg and has a 700 kg/m³ density. Calculate the volume of the wooden prism.
• Small density cube
  Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³.

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