Mass per volume density.
Stones per Cup to Grain per Cubic inches Converter — st/cup to gr/in3
Convert Stone per Cup (st/cup) to Grain per Cubic inch (gr/in3) using the exact conversion factor (1 stone per cup = 6,787.878788 grain per cubic inch). See the formula, worked examples, and conversion table.
Stones per Cup to Grain per Cubic inches 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 26841.11972 / 3.954272101.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Stones per Cup to Grain per Cubic inches
Stone per Cup and Grain per Cubic inch 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
grain per cubic inches = stones per cup × 6787.87878788
This factor comes from each unit's defined relationship to the category's base unit: 1 stone per cup equals 26841.119719 base units, and 1 grain per cubic inch equals 3.95427210146 base units, so dividing one by the other gives the direct stone per cup-to-grain per cubic inch factor of 6787.87878788.
Simple example
1 st/cup × 6787.878788 = 6,787.878788 gr/in3
1 stone per cup = 6,787.878788 grain per cubic inches.
Real-world example
1,000 st/cup × 6787.878788 = 6,787,878.788 gr/in3
1,000 stones per cup = 6,787,878.788 grain per cubic inches.
Conversion table
| Stone per Cup (st/cup) | Grain per Cubic inch (gr/in3) |
|---|---|
| 0.1 st/cup | 678.7878788 gr/in3 |
| 1 st/cup | 6,787.878788 gr/in3 |
| 10 st/cup | 67,878.78788 gr/in3 |
| 100 st/cup | 678,787.8788 gr/in3 |
| 1,000 st/cup | 6,787,878.788 gr/in3 |
| 10,000 st/cup | 67,878,787.88 gr/in3 |
Reverse conversion: Grain per Cubic inch to Stone per Cup
1 gr/in3 × 0.0001473214286 = 0.0001473214 st/cup
1 grain per cubic inch = 0.0001473214 stones per cup.
stones per cup = grain per cubic inches × 0.000147321428571
For a page dedicated to this direction, see Grain per Cubic inch to Stone per Cup.
Understanding the Stone per Cup (st/cup)
Mass per volume density.
Understanding the Grain per Cubic inch (gr/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grain per cubic inches are in 1 stone per cup?
1 stone per cup equals 6,787.878788 grain per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert stone per cup to grain per cubic inch?
Multiply the stone per cup value by 6787.878788. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic inch back to stone per cup?
Use the reverse factor: 1 grain per cubic inch equals 0.0001473214 stones per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a stone per cup?
Stone per Cup (st/cup) is a unit of density.
What is a grain per cubic inch?
Grain per Cubic inch (gr/in3) is a unit of density.
Is the stone per cup to grain per cubic inch conversion exact?
Yes. Both stone per cup and grain per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 6787.878788 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.