Understanding ounces per cubic inch to ounces per US gallon Conversion
The ounce per cubic inch (oz/in³) is a US customary density unit giving avoirdupois ounces of mass per cubic inch. The ounce per US gallon (oz/gal) expresses the same mass unit over the larger US gallon volume, which contains exactly 231 cubic inches. Because only the volume base changes, this conversion is a pure volume rescaling — useful when comparing compact material densities against fluid quantities dispensed by the gallon.
Conversion Formula
To convert ounces per cubic inch to ounces per US gallon, multiply by this factor:
Step-by-Step Example
Convert 25 ounces per cubic inch to ounces per US gallon.
How to Convert ounces per cubic inch to ounces per US gallon
Rescale a per-cubic-inch density to a per-US-gallon basis in one step.
- Take your oz/in³ value: Note the density figure.
- Multiply by 231: A US gallon is 231 cubic inches, so multiply by this exact factor.
- Record in oz/gal: The product is the density in ounces per US gallon.
- Worked result: 25 oz/in³ × 231 = 5,775 oz/gal.
ounces per cubic inch to ounces per US gallon conversion table
| ounces per cubic inch (oz/in3) | ounces per US gallon (oz/gal) |
|---|---|
| 0 | 0 |
| 1 | 231 |
| 2 | 462 |
| 3 | 693 |
| 4 | 924 |
| 5 | 1155 |
| 6 | 1386 |
| 7 | 1617 |
| 8 | 1848 |
| 9 | 2079 |
| 10 | 2310 |
| 15 | 3465 |
| 20 | 4620 |
| 25 | 5775 |
| 30 | 6930 |
| 40 | 9240 |
| 50 | 11550 |
| 60 | 13860 |
| 70 | 16170 |
| 80 | 18480 |
| 90 | 20790 |
| 100 | 23100 |
| 150 | 34650 |
| 200 | 46200 |
| 250 | 57750 |
| 300 | 69300 |
| 400 | 92400 |
| 500 | 115500 |
| 600 | 138600 |
| 700 | 161700 |
| 800 | 184800 |
| 900 | 207900 |
| 1000 | 231000 |
| 2000 | 462000 |
| 3000 | 693000 |
| 4000 | 924000 |
| 5000 | 1155000 |
| 10000 | 2310000 |
| 25000 | 5775000 |
| 50000 | 11550000 |
| 100000 | 23100000 |
| 250000 | 57750000 |
| 500000 | 115500000 |
| 1000000 | 231000000 |
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 Ounce per US Gallon?
The ounce per US gallon is a unit of density expressing the mass in avoirdupois ounces contained in one US liquid gallon. It appears in everyday US contexts such as mixing ratios, water treatment, and beverage or fuel formulations.
Definition
One ounce per US gallon equals the mass of one avoirdupois ounce (28.349523125 g) divided by the volume of one US liquid gallon (3.785411784 L).
Here the ounce is the avoirdupois ounce of mass and the gallon is the US liquid gallon (exactly 3.785411784 L, or 231 cubic inches). Using the imperial gallon (4.54609 L) instead gives a different value of about 6.236 kg/m³, so the gallon variant must always be specified.
Origin and History
The US gallon descends from the English wine gallon of 231 cubic inches, retained by the United States after Britain adopted the larger imperial gallon in 1824. Pairing it with the avoirdupois ounce created a practical density and dosing unit for American trade and agriculture.
Law and Notable Facts
This is a derived unit fixed by the exact definitions of the avoirdupois ounce and the US liquid gallon. It is especially common in dosing and concentration work, where an "ounces per gallon" rate is easy to measure and mix by hand.
Real-World Examples and Conversions
- Water (about 1000 kg/m³) corresponds to roughly 133.5 oz/gal.
- A concentration of 1 oz/gal is about 7.489 kg/m³, or 7.489 g/L.
- 8 oz/gal (a half pound per gallon) equals about 59.9 kg/m³.
- 16 oz/gal (one pound per gallon) equals about 119.8 kg/m³.
Frequently Asked Questions
How many ounces per US gallon is one ounce per cubic inch?
One ounce per cubic inch equals exactly 231 ounces per US gallon, because a US gallon is defined as 231 cubic inches.
How do I convert oz/in³ to oz/gal?
Multiply the oz/in³ value by 231. For example, 2 oz/in³ × 231 = 462 oz/gal.
How do I convert oz/gal back to oz/in³?
Multiply the oz/gal value by 0.004329004 (which is 1/231). So 231 oz/gal = 1 oz/in³.
Why is the factor exactly 231?
The US liquid gallon is defined as exactly 231 cubic inches, so spreading the same ounce mass over a gallon multiplies the volume base by 231.
Does this use the US or Imperial gallon?
It uses the US gallon of 231 cubic inches; the Imperial gallon is larger (about 277.4 cubic inches) and would give a different factor.
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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 |