Understanding ounces per cubic inch to kilograms per cubic meter Conversion
The ounce per cubic inch (oz/in³) is a US customary density unit stating avoirdupois ounces of mass per cubic inch. The kilogram per cubic metre (kg/m³) is the coherent SI density unit — the standard for engineering, fluid dynamics, and material data sheets worldwide. Converting oz/in³ to kg/m³ is essential when importing US material specifications into SI-based structural, thermal, or CFD calculations.
Conversion Formula
To convert ounces per cubic inch to kilograms per cubic meter, multiply by this factor:
Step-by-Step Example
Convert 25 ounces per cubic inch to kilograms per cubic meter.
How to Convert ounces per cubic inch to kilograms per cubic meter
Convert a US customary density into the SI kg/m³ used in engineering.
- Take your oz/in³ value: Note the density figure to convert.
- Multiply by the factor: Multiply by 1729.994, the number of kg/m³ per oz/in³.
- Record in kg/m³: The product is the density in SI base units.
- Worked result: 25 oz/in³ × 1729.994 = 43,249.9 kg/m³.
ounces per cubic inch to kilograms per cubic meter conversion table
| ounces per cubic inch (oz/in3) | kilograms per cubic meter (kg/m3) |
|---|---|
| 0 | 0 |
| 1 | 1729.994 |
| 2 | 3459.988 |
| 3 | 5189.982 |
| 4 | 6919.976 |
| 5 | 8649.97 |
| 6 | 10379.96 |
| 7 | 12109.96 |
| 8 | 13839.95 |
| 9 | 15569.95 |
| 10 | 17299.94 |
| 15 | 25949.91 |
| 20 | 34599.88 |
| 25 | 43249.85 |
| 30 | 51899.82 |
| 40 | 69199.76 |
| 50 | 86499.7 |
| 60 | 103799.6 |
| 70 | 121099.6 |
| 80 | 138399.5 |
| 90 | 155699.5 |
| 100 | 172999.4 |
| 150 | 259499.1 |
| 200 | 345998.8 |
| 250 | 432498.5 |
| 300 | 518998.2 |
| 400 | 691997.6 |
| 500 | 864997 |
| 600 | 1037996 |
| 700 | 1210996 |
| 800 | 1383995 |
| 900 | 1556995 |
| 1000 | 1729994 |
| 2000 | 3459988 |
| 3000 | 5189982 |
| 4000 | 6919976 |
| 5000 | 8649970 |
| 10000 | 17299940 |
| 25000 | 43249850 |
| 50000 | 86499700 |
| 100000 | 172999400 |
| 250000 | 432498500 |
| 500000 | 864997000 |
| 1000000 | 1729994000 |
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.
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
How many kilograms per cubic metre is one ounce per cubic inch?
One ounce per cubic inch equals about 1,729.994 kg/m³, which is numerically the same as 1.729994 g/cm³ scaled to SI base units.
How do I convert oz/in³ to kg/m³?
Multiply the oz/in³ value by 1729.994. For example, 4 oz/in³ × 1729.994 ≈ 6,919.98 kg/m³.
How do I convert kg/m³ back to oz/in³?
Multiply the kg/m³ value by 0.0005780367. So 7,850 kg/m³ (steel) ≈ 4.538 oz/in³.
Why is kg/m³ the preferred engineering unit?
It is the coherent SI density unit, so it plugs directly into equations for mass, force, and flow without extra conversion factors.
Is 1 oz/in³ really the same number in kg/m³ as g/L?
Yes. 1 g/cm³ equals both 1,000 g/L and 1,000 kg/m³, so oz/in³ gives the identical numeric factor of 1729.994 for both.
People also convert
Complete ounces per cubic inch conversion table
| Unit | Result |
|---|---|
| kilograms per cubic meter (kg/m3) | 1729.994 kg/m3 |
| grams per cubic centimeter (g/cm3) | 1.729994 g/cm3 |
| grams per milliliter (g/mL) | 1.729994 g/mL |
| grams per liter (g/L) | 1729.994 g/L |
| milligrams per milliliter (mg/mL) | 1729.994 mg/mL |
| kilograms per liter (kg/L) | 1.729994 kg/L |
| tonnes per cubic meter (t/m3) | 1.729994 t/m3 |
| pounds per cubic foot (lb/ft3) | 108 lb/ft3 |
| pounds per cubic inch (lb/in3) | 0.0625 lb/in3 |
| pounds per cubic yard (lb/yd3) | 2916 lb/yd3 |
| pounds per US gallon (lb/gal) | 14.4375 lb/gal |
| ounces per US gallon (oz/gal) | 231 oz/gal |
| slugs per cubic foot (slug/ft3) | 3.356743 slug/ft3 |