Mass per volume density.
Carats per Fluid ounce to Grains per Cup Converter — ct/fl oz to gr/cup
Convert Carat per Fluid ounce (ct/fl oz) to Grain per Cup (gr/cup) using the exact conversion factor (1 carat per fluid ounce = 24.69177336 grain per cup). See the formula, worked examples, and conversion table.
Carats per Fluid ounce to Grains per Cup 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 6.76280454 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Fluid ounce to Grains per Cup
Carat per Fluid ounce and Grain per Cup 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 cup = carats per fluid ounce × 24.6917733647
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per fluid ounce equals 6.76280454037 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct carat per fluid ounce-to-grain per cup factor of 24.6917733647.
Simple example
1 ct/fl oz × 24.69177336 = 24.69177336 gr/cup
1 carat per fluid ounce = 24.69177336 grains per cup.
Real-world example
1,000 ct/fl oz × 24.69177336 = 24,691.77336 gr/cup
1,000 carats per fluid ounce = 24,691.77336 grains per cup.
Conversion table
| Carat per Fluid ounce (ct/fl oz) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 ct/fl oz | 2.469177336 gr/cup |
| 1 ct/fl oz | 24.69177336 gr/cup |
| 10 ct/fl oz | 246.9177336 gr/cup |
| 100 ct/fl oz | 2,469.177336 gr/cup |
| 1,000 ct/fl oz | 24,691.77336 gr/cup |
| 10,000 ct/fl oz | 246,917.7336 gr/cup |
Reverse conversion: Grain per Cup to Carat per Fluid ounce
24.69177336 gr/cup × 0.04049931875 = 0.9999999998 ct/fl oz
24.69177336 grains per cup = 0.9999999998 carats per fluid ounce.
carats per fluid ounce = grains per cup × 0.04049931875
For a page dedicated to this direction, see Grain per Cup to Carat per Fluid ounce.
Understanding the Carat per Fluid ounce (ct/fl oz)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 carat per fluid ounce?
1 carat per fluid ounce equals 24.69177336 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per fluid ounce to grain per cup?
Multiply the carat per fluid ounce value by 24.69177336. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to carat per fluid ounce?
Use the reverse factor: 1 grain per cup equals 0.0404993188 carats per fluid ounce. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per fluid ounce?
Carat per Fluid ounce (ct/fl oz) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the carat per fluid ounce to grain per cup conversion exact?
Yes. Both carat per fluid ounce and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 24.69177336 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.