Mass per volume density.
Stones per Cubic Millimeter to Grains per Cup Converter — st/mm3 to gr/cup
Convert Stone per Cubic Millimeter (st/mm3) to Grain per Cup (gr/cup) using the exact conversion factor (1 stone per cubic millimeter = 23,185,647,180 grain per cup). See the formula, worked examples, and conversion table.
Stones per Cubic Millimeter 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 6.35029318e+9 / 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 Cubic Millimeter to Grains per Cup
Stone per Cubic Millimeter 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 cubic millimeter × 23185647177
This factor comes from each unit's defined relationship to the category's base unit: 1 stone per cubic millimeter equals 6350293180 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct stone per cubic millimeter-to-grain per cup factor of 23185647177.
Simple example
1 st/mm3 × 23185647180 = 23,185,647,180 gr/cup
1 stone per cubic millimeter = 23,185,647,180 grains per cup.
Real-world example
1,000 st/mm3 × 23185647180 = 2.318565e+13 gr/cup
1,000 stones per cubic millimeter = 2.318565e+13 grains per cup.
Conversion table
| Stone per Cubic Millimeter (st/mm3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 st/mm3 | 2,318,564,718 gr/cup |
| 1 st/mm3 | 23,185,647,180 gr/cup |
| 10 st/mm3 | 231,856,471,800 gr/cup |
| 100 st/mm3 | 2.318565e+12 gr/cup |
| 1,000 st/mm3 | 2.318565e+13 gr/cup |
| 10,000 st/mm3 | 2.318565e+14 gr/cup |
Reverse conversion: Grain per Cup to Stone per Cubic Millimeter
1 gr/cup × 4.313013e-11 = 4.313013e-11 st/mm3
1 grain per cup = 4.313013e-11 stones per cubic millimeter.
stones per cubic millimeter = grains per cup × 4.313013e-11
For a page dedicated to this direction, see Grain per Cup to Stone per Cubic Millimeter.
Understanding the Stone per Cubic Millimeter (st/mm3)
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 cubic millimeter?
1 stone per cubic millimeter equals 23,185,647,180 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert stone per cubic millimeter to grain per cup?
Multiply the stone per cubic millimeter value by 23185647180. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to stone per cubic millimeter?
Use the reverse factor: 1 grain per cup equals 4.313013e-11 stones per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a stone per cubic millimeter?
Stone per Cubic Millimeter (st/mm3) 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 cubic millimeter to grain per cup conversion exact?
Yes. Both stone per cubic millimeter and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 23185647180 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.