Understanding kilograms per cubic meter to grams per cubic centimeter Conversion
The kilogram per cubic meter (kg/m3) is the SI unit of density, describing how much mass occupies a cubic meter of space, and it is the value engineers list for materials, fluids, and gases. The gram per cubic centimeter (g/cm3) is the CGS density unit, equal to the mass in grams of a one-centimeter cube, and is the standard in chemistry and mineralogy where water sits neatly at about 1 g/cm3. This conversion is essential when moving between SI reference tables and the compact g/cm3 figures used in labs and material datasheets.
Conversion Formula
To convert kilograms per cubic meter to grams per cubic centimeter, multiply by this factor:
Step-by-Step Example
Convert 25 kilograms per cubic meter to grams per cubic centimeter.
How to Convert kilograms per cubic meter to grams per cubic centimeter
Turning an SI density into the compact CGS unit takes one quick step.
- Note the density in kg/m3: Start from the value in your material or fluid table.
- Multiply by 0.001: Equivalently divide by 1,000 to shift into grams per cubic centimeter.
- Check against water: A result near 1 g/cm3 confirms a water-like density and a sensible conversion.
- Worked result: 25 kg/m3 × 0.001 = 0.025 g/cm3.
kilograms per cubic meter to grams per cubic centimeter conversion table
| kilograms per cubic meter (kg/m3) | grams per cubic centimeter (g/cm3) |
|---|---|
| 0 | 0 |
| 1 | 0.001 |
| 2 | 0.002 |
| 3 | 0.003 |
| 4 | 0.004 |
| 5 | 0.005 |
| 6 | 0.006 |
| 7 | 0.007 |
| 8 | 0.008 |
| 9 | 0.009 |
| 10 | 0.01 |
| 15 | 0.015 |
| 20 | 0.02 |
| 25 | 0.025 |
| 30 | 0.03 |
| 40 | 0.04 |
| 50 | 0.05 |
| 60 | 0.06 |
| 70 | 0.07 |
| 80 | 0.08 |
| 90 | 0.09 |
| 100 | 0.1 |
| 150 | 0.15 |
| 200 | 0.2 |
| 250 | 0.25 |
| 300 | 0.3 |
| 400 | 0.4 |
| 500 | 0.5 |
| 600 | 0.6 |
| 700 | 0.7 |
| 800 | 0.8 |
| 900 | 0.9 |
| 1000 | 1 |
| 2000 | 2 |
| 3000 | 3 |
| 4000 | 4 |
| 5000 | 5 |
| 10000 | 10 |
| 25000 | 25 |
| 50000 | 50 |
| 100000 | 100 |
| 250000 | 250 |
| 500000 | 500 |
| 1000000 | 1000 |
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.
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.
Frequently Asked Questions
How many grams per cubic centimeter are in one kilogram per cubic meter?
One kilogram per cubic meter equals 0.001 gram per cubic centimeter. The thousand-fold gap comes from a kilogram being 1,000 grams while a cubic meter is 1,000,000 cubic centimeters.
How do I convert kilograms per cubic meter to grams per cubic centimeter?
Multiply the kg/m3 value by 0.001, which is the same as dividing by 1,000. For example, water at 1,000 kg/m3 becomes 1 g/cm3.
How do I convert grams per cubic centimeter back to kilograms per cubic meter?
Multiply the g/cm3 value by 1,000. So aluminium at 2.70 g/cm3 equals 2,700 kg/m3.
Why is g/cm3 convenient in chemistry?
Because pure water is almost exactly 1 g/cm3, the unit makes relative density and specific-gravity comparisons immediate, which is why it dominates lab and mineral references.
Does this factor depend on the substance?
No. The 0.001 factor is purely a unit-scale relationship, so it applies identically to any solid, liquid, or gas regardless of composition.
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Complete kilograms per cubic meter conversion table
| Unit | Result |
|---|---|
| grams per cubic centimeter (g/cm3) | 0.001 g/cm3 |
| grams per milliliter (g/mL) | 0.001 g/mL |
| grams per liter (g/L) | 1 g/L |
| milligrams per milliliter (mg/mL) | 1 mg/mL |
| kilograms per liter (kg/L) | 0.001 kg/L |
| tonnes per cubic meter (t/m3) | 0.001 t/m3 |
| pounds per cubic foot (lb/ft3) | 0.06242796 lb/ft3 |
| pounds per cubic inch (lb/in3) | 0.00003612729 lb/in3 |
| pounds per cubic yard (lb/yd3) | 1.685555 lb/yd3 |
| pounds per US gallon (lb/gal) | 0.008345404 lb/gal |
| ounces per cubic inch (oz/in3) | 0.0005780367 oz/in3 |
| ounces per US gallon (oz/gal) | 0.1335265 oz/gal |
| slugs per cubic foot (slug/ft3) | 0.00194032 slug/ft3 |