Understanding grams per cubic centimeter to kilograms per cubic meter Conversion
The gram per cubic centimeter (g/cm³) is a compact CGS density unit, while the kilogram per cubic meter (kg/m³) is the coherent SI unit of density used throughout physics and engineering. Because a kilogram is 1000 grams and a cubic meter is 1,000,000 cubic centimeters, the net conversion multiplies the g/cm³ value by 1000. This conversion is essential for entering material densities into SI-based calculations of mass, buoyancy, and fluid flow.
Conversion Formula
To convert grams per cubic centimeter to kilograms per cubic meter, multiply by this factor:
Step-by-Step Example
Convert 25 grams per cubic centimeter to kilograms per cubic meter.
How to Convert grams per cubic centimeter to kilograms per cubic meter
Converting to the SI density unit is a straightforward factor-of-1000 multiplication.
- Take the density in g/cm³: Note your value in grams per cubic centimeter.
- Multiply by 1000: Move the decimal three places to the right.
- Report in kg/m³: The result is the density in kilograms per cubic meter.
- Worked result: 25 g/cm³ × 1000 = 25000 kg/m³.
grams per cubic centimeter to kilograms per cubic meter conversion table
| grams per cubic centimeter (g/cm3) | kilograms per cubic meter (kg/m3) |
|---|---|
| 0 | 0 |
| 1 | 1000 |
| 2 | 2000 |
| 3 | 3000 |
| 4 | 4000 |
| 5 | 5000 |
| 6 | 6000 |
| 7 | 7000 |
| 8 | 8000 |
| 9 | 9000 |
| 10 | 10000 |
| 15 | 15000 |
| 20 | 20000 |
| 25 | 25000 |
| 30 | 30000 |
| 40 | 40000 |
| 50 | 50000 |
| 60 | 60000 |
| 70 | 70000 |
| 80 | 80000 |
| 90 | 90000 |
| 100 | 100000 |
| 150 | 150000 |
| 200 | 200000 |
| 250 | 250000 |
| 300 | 300000 |
| 400 | 400000 |
| 500 | 500000 |
| 600 | 600000 |
| 700 | 700000 |
| 800 | 800000 |
| 900 | 900000 |
| 1000 | 1000000 |
| 2000 | 2000000 |
| 3000 | 3000000 |
| 4000 | 4000000 |
| 5000 | 5000000 |
| 10000 | 10000000 |
| 25000 | 25000000 |
| 50000 | 50000000 |
| 100000 | 100000000 |
| 250000 | 250000000 |
| 500000 | 500000000 |
| 1000000 | 1000000000 |
What is the Gram per Cubic Centimeter?
The gram per cubic centimetre is a metric unit of density widely used in chemistry, materials science, and geology because most solids and liquids have convenient single- or double-digit values in these units.
Definition
One gram per cubic centimetre is one gram of mass in a volume of one cubic centimetre. Since a cubic centimetre is one millionth of a cubic metre and a gram is one thousandth of a kilogram, the unit equals exactly 1000 kilograms per cubic metre.
It is numerically identical to the gram per millilitre and to the tonne per cubic metre.
Origin and History
The unit arose from the centimetre-gram-second (CGS) system introduced in the 19th century, in which it was the standard measure of density. It was historically anchored to water: the gram was originally defined so that one cubic centimetre of water at maximum density weighed almost exactly one gram, giving water a density near 1 g/cm³.
Law and Notable Facts
Though CGS has been superseded by SI, the gram per cubic centimetre remains the everyday unit for tabulating densities of materials. A substance with density less than 1 g/cm³ floats on water while a denser one sinks. Osmium and iridium, the densest naturally occurring elements, sit around 22.6 g/cm³.
Real-World Examples and Conversions
- Water at 4 °C: about 1.000 g/cm³ (1000 kg/m³).
- Aluminium: about 2.70 g/cm³; iron: about 7.87 g/cm³.
- Gold: about 19.3 g/cm³ (19300 kg/m³).
- 1 g/cm³ = 1000 kg/m³ = 1 g/mL = 1 kg/L.
What is the Kilogram per Cubic Meter?
The kilogram per cubic metre is the SI derived unit of density (mass per unit volume). It expresses how much mass is contained within a one-cubic-metre volume of a substance.
Definition
One kilogram per cubic metre is one kilogram of mass distributed uniformly through one cubic metre of space. It is the SI base-unit expression of density and therefore its own ground truth.
Because it combines the base units kilogram and metre directly, it needs no conversion factor within the SI system.
Origin and History
The unit follows directly from the metre-kilogram-second (MKS) system adopted as the foundation of the modern International System of Units (SI) in 1960. Density as mass per volume was formalised through the work of Archimedes on buoyancy and later quantified precisely once the kilogram and metre were standardised in the late 18th and 19th centuries.
Law and Notable Facts
The kilogram per cubic metre is the coherent SI unit for density and is legally recognised worldwide. It is numerically identical to the gram per litre and to the milligram per millilitre, all three equalling one another exactly. Everyday materials are often quoted in the equal but more convenient g/cm³, where 1 g/cm³ = 1000 kg/m³.
Real-World Examples and Conversions
- Pure water at 4 °C has a density of about 1000 kg/m³.
- Dry air at sea level and 15 °C is roughly 1.225 kg/m³.
- Iron is about 7870 kg/m³, and lead about 11340 kg/m³.
- 1 kg/m³ = 0.001 g/cm³ = 1 g/L = 1 mg/mL.
Frequently Asked Questions
Why is the factor 1000 and not a million?
Although a cubic meter holds a million cubic centimeters, a kilogram is also a thousand grams; the two large factors partly cancel, leaving a net multiplier of exactly 1000.
What is water's density in kg/m³?
Water's roughly 1 g/cm³ becomes about 1000 kg/m³, the standard reference density used in fluid mechanics.
Why is kg/m³ the preferred unit in engineering?
Kilograms per cubic meter is the coherent SI density unit, so it plugs directly into equations for mass, pressure, and buoyancy without extra conversion constants.
How do I convert 7.85 g/cm³ (steel) to kg/m³?
Multiply 7.85 by 1000 to get 7850 kg/m³, the typical density of carbon steel.
How do I convert back from kg/m³ to g/cm³?
Divide by 1000 (multiply by 0.001); for example, 2700 kg/m³ of aluminum equals 2.7 g/cm³.
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Complete grams per cubic centimeter conversion table
| Unit | Result |
|---|---|
| kilograms per cubic meter (kg/m3) | 1000 kg/m3 |
| grams per milliliter (g/mL) | 1 g/mL |
| grams per liter (g/L) | 1000 g/L |
| milligrams per milliliter (mg/mL) | 1000 mg/mL |
| kilograms per liter (kg/L) | 1 kg/L |
| tonnes per cubic meter (t/m3) | 1 t/m3 |
| pounds per cubic foot (lb/ft3) | 62.42796 lb/ft3 |
| pounds per cubic inch (lb/in3) | 0.03612729 lb/in3 |
| pounds per cubic yard (lb/yd3) | 1685.555 lb/yd3 |
| pounds per US gallon (lb/gal) | 8.345404 lb/gal |
| ounces per cubic inch (oz/in3) | 0.5780367 oz/in3 |
| ounces per US gallon (oz/gal) | 133.5265 oz/gal |
| slugs per cubic foot (slug/ft3) | 1.94032 slug/ft3 |