Mass per volume density.
Stones per Fluid ounce to Grains per Cup Converter — st/fl oz to gr/cup
Convert Stone per Fluid ounce (st/fl oz) to Grain per Cup (gr/cup) using the exact conversion factor (1 stone per fluid ounce = 784,000 grain per cup). See the formula, worked examples, and conversion table.
Stones 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.
Mass per volume density.
Result = input x 214728.9578 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Stones per Fluid ounce to Grains per Cup
Stone 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 = stones per fluid ounce × 784000
This factor comes from each unit's defined relationship to the category's base unit: 1 stone per fluid ounce equals 214728.957752 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct stone per fluid ounce-to-grain per cup factor of 784000.
Simple example
1 st/fl oz × 784000 = 784,000 gr/cup
1 stone per fluid ounce = 784,000 grains per cup.
Real-world example
1,000 st/fl oz × 784000 = 784,000,000 gr/cup
1,000 stones per fluid ounce = 784,000,000 grains per cup.
Conversion table
| Stone per Fluid ounce (st/fl oz) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 st/fl oz | 78,400 gr/cup |
| 1 st/fl oz | 784,000 gr/cup |
| 10 st/fl oz | 7,840,000 gr/cup |
| 100 st/fl oz | 78,400,000 gr/cup |
| 1,000 st/fl oz | 784,000,000 gr/cup |
| 10,000 st/fl oz | 7,840,000,000 gr/cup |
Reverse conversion: Grain per Cup to Stone per Fluid ounce
1 gr/cup × 0.000001275510204 = 0.0000012755 st/fl oz
1 grain per cup = 0.0000012755 stones per fluid ounce.
stones per fluid ounce = grains per cup × 0.00000127551020408
For a page dedicated to this direction, see Grain per Cup to Stone per Fluid ounce.
Understanding the Stone per Fluid ounce (st/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 stone per fluid ounce?
1 stone per fluid ounce equals 784,000 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert stone per fluid ounce to grain per cup?
Multiply the stone per fluid ounce value by 784000. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to stone per fluid ounce?
Use the reverse factor: 1 grain per cup equals 0.0000012755 stones per fluid ounce. You can also use the swap control in the converter above to flip the direction instantly.
What is a stone per fluid ounce?
Stone per Fluid ounce (st/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 stone per fluid ounce to grain per cup conversion exact?
Yes. Both stone per fluid ounce and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 784000 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.