Conversion of Density: 1 g/cm³ to kg/m³
What is Density?
Density is a fundamental physical property of a substance that is defined as the mass of a substance per unit volume. It is commonly represented by the symbol ρ (rho) and is usually expressed in units of mass per unit volume, such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³).
The Problem: Converting 1 g/cm³ to kg/m³
Given a density of 1 g/cm³, how do we convert it to kg/m³?
The Solution: Conversion Factor
To convert density from g/cm³ to kg/m³, we need to know that:
- 1 cubic meter (m³) is equal to 1000 cubic centimeters (cm³)
- 1 kilogram (kg) is equal to 1000 grams (g)
Using these conversion factors, we can convert 1 g/cm³ to kg/m³ as follows:
Calculation:
1 g/cm³ = x kg/m³
Since there are 1000 cm³ in 1 m³, we can multiply both sides of the equation by 1000:
1000 cm³ × 1 g/cm³ = x kg/m³ × 1000 cm³
Now, we can simplify the equation:
1000 g = x kg
Finally, we can divide both sides of the equation by 1000 to get the converted density in kg/m³:
x kg/m³ = 1000 g / 1000 = 1 kg/m³
Answer:
Therefore, a density of 1 g/cm³ is equivalent to a density of 1 kg/m³.
Conclusion
In conclusion, we have successfully converted a density from g/cm³ to kg/m³ using simple conversion factors. This conversion is essential in various fields, including physics, chemistry, and engineering, where accurate calculations are crucial.
