Mass per volume density.
Grains per Cup to Troy ounces per Fluid ounce Converter — gr/cup to oz t/fl oz
Convert Grain per Cup (gr/cup) to Troy ounce per Fluid ounce (oz t/fl oz) using the exact conversion factor (1 grain per cup = 0.0002604167 troy ounce per fluid ounce). See the formula, worked examples, and conversion table.
Grains per Cup to Troy ounces 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 0.2738889767 / 1051.733671.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Troy ounces per Fluid ounce
Grain per Cup and Troy ounce 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
troy ounces per fluid ounce = grains per cup × 0.000260416666667
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 troy ounce per fluid ounce equals 1051.73367062 base units, so dividing one by the other gives the direct grain per cup-to-troy ounce per fluid ounce factor of 0.000260416666667.
Simple example
1 gr/cup × 0.0002604166667 = 0.0002604167 oz t/fl oz
1 grain per cup = 0.0002604167 troy ounces per fluid ounce.
Real-world example
1,000 gr/cup × 0.0002604166667 = 0.2604166667 oz t/fl oz
1,000 grains per cup = 0.2604166667 troy ounces per fluid ounce.
Conversion table
| Grain per Cup (gr/cup) | Troy ounce per Fluid ounce (oz t/fl oz) |
|---|---|
| 0.1 gr/cup | 0.0000260417 oz t/fl oz |
| 1 gr/cup | 0.0002604167 oz t/fl oz |
| 10 gr/cup | 0.0026041667 oz t/fl oz |
| 100 gr/cup | 0.0260416667 oz t/fl oz |
| 1,000 gr/cup | 0.2604166667 oz t/fl oz |
| 10,000 gr/cup | 2.604166667 oz t/fl oz |
Reverse conversion: Troy ounce per Fluid ounce to Grain per Cup
0.0002604167 oz t/fl oz × 3840 = 1.000000128 gr/cup
0.0002604167 troy ounces per fluid ounce = 1.000000128 grains per cup.
grains per cup = troy ounces per fluid ounce × 3840
For a page dedicated to this direction, see Troy ounce per Fluid ounce to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Troy ounce per Fluid ounce (oz t/fl oz)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many troy ounces per fluid ounce are in 1 grain per cup?
1 grain per cup equals 0.0002604167 troy ounces per fluid ounce, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to troy ounce per fluid ounce?
Multiply the grain per cup value by 0.0002604166667. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per fluid ounce back to grain per cup?
Use the reverse factor: 1 troy ounce per fluid ounce equals 3,840 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a troy ounce per fluid ounce?
Troy ounce per Fluid ounce (oz t/fl oz) is a unit of density.
Is the grain per cup to troy ounce per fluid ounce conversion exact?
Yes. Both grain per cup and troy ounce per fluid ounce are defined by fixed standards rather than physical artifacts, so the factor of 0.0002604166667 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.