Mass per volume density.
Carat per Cubic inches to Grains per Fluid ounce Converter — ct/in3 to gr/fl oz
Convert Carat per Cubic inch (ct/in3) to Grain per Fluid ounce (gr/fl oz) using the exact conversion factor (1 carat per cubic inch = 5.570116843 grain per fluid ounce). See the formula, worked examples, and conversion table.
Carat per Cubic inches to Grains per Fluid ounce converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 12.20474882 / 2.191111814.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carat per Cubic inches to Grains per Fluid ounce
Carat per Cubic inch and Grain per Fluid ounce both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
grains per fluid ounce = carat per cubic inches × 5.57011684301
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic inch equals 12.2047488189 base units, and 1 grain per fluid ounce equals 2.19111181379 base units, so dividing one by the other gives the direct carat per cubic inch-to-grain per fluid ounce factor of 5.57011684301.
Simple example
1 ct/in3 × 5.570116843 = 5.570116843 gr/fl oz
1 carat per cubic inch = 5.570116843 grains per fluid ounce.
Real-world example
1,000 ct/in3 × 5.570116843 = 5,570.116843 gr/fl oz
1,000 carat per cubic inches = 5,570.116843 grains per fluid ounce.
Conversion table
| Carat per Cubic inch (ct/in3) | Grain per Fluid ounce (gr/fl oz) |
|---|---|
| 0.1 ct/in3 | 0.5570116843 gr/fl oz |
| 1 ct/in3 | 5.570116843 gr/fl oz |
| 10 ct/in3 | 55.70116843 gr/fl oz |
| 100 ct/in3 | 557.0116843 gr/fl oz |
| 1,000 ct/in3 | 5,570.116843 gr/fl oz |
| 10,000 ct/in3 | 55,701.16843 gr/fl oz |
Reverse conversion: Grain per Fluid ounce to Carat per Cubic inch
5.570116843 gr/fl oz × 0.1795294476 = 1 ct/in3
5.570116843 grains per fluid ounce = 1 carat per cubic inches.
carat per cubic inches = grains per fluid ounce × 0.179529447619
For a page dedicated to this direction, see Grain per Fluid ounce to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Understanding the Grain per Fluid ounce (gr/fl oz)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per fluid ounce are in 1 carat per cubic inch?
1 carat per cubic inch equals 5.570116843 grains per fluid ounce, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to grain per fluid ounce?
Multiply the carat per cubic inch value by 5.570116843. The converter above does this instantly to whatever precision you set.
How do I convert grain per fluid ounce back to carat per cubic inch?
Use the reverse factor: 1 grain per fluid ounce equals 0.1795294476 carat per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) is a unit of density.
What is a grain per fluid ounce?
Grain per Fluid ounce (gr/fl oz) is a unit of density.
Is the carat per cubic inch to grain per fluid ounce conversion exact?
Yes. Both carat per cubic inch and grain per fluid ounce are defined by fixed standards rather than physical artifacts, so the factor of 5.570116843 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.