Understanding grams per cubic centimeter to ounces per cubic inch Conversion
The gram per cubic centimeter (g/cm³) is the metric density unit familiar from chemistry and materials data. The ounce per cubic inch (oz/in³) is an imperial density unit that pairs the avoirdupois ounce with the cubic inch, appearing in US manufacturing, casting, and hobbyist material specs. Converting between them lets engineers compare metric datasheet densities against imperial shop measurements, using the fixed factor derived from grams-per-ounce and cm³-per-in³.
Conversion Formula
To convert grams per cubic centimeter to ounces per cubic inch, multiply by this factor:
Step-by-Step Example
Convert 25 grams per cubic centimeter to ounces per cubic inch.
How to Convert grams per cubic centimeter to ounces per cubic inch
This metric-to-imperial density conversion uses a single fixed factor combining ounce and cubic-inch definitions.
- Take the density in g/cm³: Note your value in grams per cubic centimeter.
- Multiply by the factor: Multiply by 0.5780367 to change to imperial units.
- Report in oz/in³: The result is the density in ounces per cubic inch.
- Worked result: 25 g/cm³ × 0.5780367 = 14.4509 oz/in³.
grams per cubic centimeter to ounces per cubic inch conversion table
| grams per cubic centimeter (g/cm3) | ounces per cubic inch (oz/in3) |
|---|---|
| 0 | 0 |
| 1 | 0.5780367 |
| 2 | 1.156073 |
| 3 | 1.73411 |
| 4 | 2.312147 |
| 5 | 2.890183 |
| 6 | 3.46822 |
| 7 | 4.046257 |
| 8 | 4.624293 |
| 9 | 5.20233 |
| 10 | 5.780367 |
| 15 | 8.67055 |
| 20 | 11.56073 |
| 25 | 14.45092 |
| 30 | 17.3411 |
| 40 | 23.12147 |
| 50 | 28.90183 |
| 60 | 34.6822 |
| 70 | 40.46257 |
| 80 | 46.24293 |
| 90 | 52.0233 |
| 100 | 57.80367 |
| 150 | 86.7055 |
| 200 | 115.6073 |
| 250 | 144.5092 |
| 300 | 173.411 |
| 400 | 231.2147 |
| 500 | 289.0183 |
| 600 | 346.822 |
| 700 | 404.6257 |
| 800 | 462.4293 |
| 900 | 520.233 |
| 1000 | 578.0367 |
| 2000 | 1156.073 |
| 3000 | 1734.11 |
| 4000 | 2312.147 |
| 5000 | 2890.183 |
| 10000 | 5780.367 |
| 25000 | 14450.92 |
| 50000 | 28901.83 |
| 100000 | 57803.67 |
| 250000 | 144509.2 |
| 500000 | 289018.3 |
| 1000000 | 578036.7 |
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 Ounce per Cubic Inch?
The ounce per cubic inch is a unit of density in the imperial and US customary systems, expressing the mass in avoirdupois ounces contained in one cubic inch of a substance. It is used mainly in engineering and materials work where both mass and volume are stated in customary units.
Definition
One ounce per cubic inch equals the mass of one avoirdupois ounce (28.349523125 g) divided by the volume of one cubic inch (16.387064 cm³).
Because one cubic inch is defined exactly as 16.387064 cm³ and one avoirdupois ounce as exactly 28.349523125 g, the conversion is exact: 1 oz/in³ = 1.72999 g/cm³ = 1729.99 kg/m³. This should not be confused with the fluid-ounce-based densities used for liquids.
Origin and History
The unit derives from the avoirdupois ounce, standardized in England and later fixed to the metric system when the international yard and pound were defined in 1959 (1 pound = 0.45359237 kg exactly, hence 1 ounce = 1/16 pound). Combining this mass with the cubic inch produced a natural density measure for machinists and metallurgists working in inches.
Law and Notable Facts
The ounce per cubic inch is a derived unit with no independent legal definition; it follows automatically from the exact definitions of the avoirdupois ounce and the international inch. Because 1 oz/in³ ≈ 1.73 g/cm³, it produces conveniently sized numbers for dense materials.
Real-World Examples and Conversions
- Water (1.000 g/cm³) is about 0.578 oz/in³.
- Aluminium (2.70 g/cm³) is roughly 1.56 oz/in³.
- Steel (about 7.85 g/cm³) is close to 4.54 oz/in³.
- Lead (11.34 g/cm³) is about 6.55 oz/in³.
Frequently Asked Questions
What is the conversion factor from g/cm³ to oz/in³?
One gram per cubic centimeter equals about 0.578037 ounces per cubic inch, so metric densities shrink to roughly 58 percent of their numeric value in these imperial units.
Where is ounces per cubic inch used?
It shows up in US metalworking, casting, and 3D-printing material specs where both mass in ounces and volume in cubic inches are the shop-floor norm.
How do I convert water's density to oz/in³?
Water at about 1 g/cm³ becomes roughly 0.578 oz/in³.
How do I convert steel at 7.85 g/cm³ to oz/in³?
Multiply 7.85 by 0.5780367 to get about 4.54 oz/in³.
How do I convert back from oz/in³ to g/cm³?
Multiply the oz/in³ value by about 1.72999; for example, 1 oz/in³ equals roughly 1.73 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 |