Mass per volume density.
Grains per Cup to Stones per Cubic foot Converter — gr/cup to st/ft3
Convert Grain per Cup (gr/cup) to Stone per Cubic foot (st/ft3) using the exact conversion factor (1 grain per cup = 0.0012213093 stone per cubic foot). See the formula, worked examples, and conversion table.
Grains per Cup to Stones per Cubic foot 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 / 224.2584872.
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 Stones per Cubic foot
Grain per Cup and Stone per Cubic foot 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
stones per cubic foot = grains per cup × 0.00122130930294
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 stone per cubic foot equals 224.258487235 base units, so dividing one by the other gives the direct grain per cup-to-stone per cubic foot factor of 0.00122130930294.
Simple example
1 gr/cup × 0.001221309303 = 0.0012213093 st/ft3
1 grain per cup = 0.0012213093 stones per cubic foot.
Real-world example
1,000 gr/cup × 0.001221309303 = 1.221309303 st/ft3
1,000 grains per cup = 1.221309303 stones per cubic foot.
Conversion table
| Grain per Cup (gr/cup) | Stone per Cubic foot (st/ft3) |
|---|---|
| 0.1 gr/cup | 0.0001221309 st/ft3 |
| 1 gr/cup | 0.0012213093 st/ft3 |
| 10 gr/cup | 0.012213093 st/ft3 |
| 100 gr/cup | 0.1221309303 st/ft3 |
| 1,000 gr/cup | 1.221309303 st/ft3 |
| 10,000 gr/cup | 12.21309303 st/ft3 |
Reverse conversion: Stone per Cubic foot to Grain per Cup
0.0012213093 st/ft3 × 818.7934028 = 0.9999999976 gr/cup
0.0012213093 stones per cubic foot = 0.9999999976 grains per cup.
grains per cup = stones per cubic foot × 818.793402778
For a page dedicated to this direction, see Stone per Cubic foot to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Stone per Cubic foot (st/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many stones per cubic foot are in 1 grain per cup?
1 grain per cup equals 0.0012213093 stones per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to stone per cubic foot?
Multiply the grain per cup value by 0.001221309303. The converter above does this instantly to whatever precision you set.
How do I convert stone per cubic foot back to grain per cup?
Use the reverse factor: 1 stone per cubic foot equals 818.7934028 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 stone per cubic foot?
Stone per Cubic foot (st/ft3) is a unit of density.
Is the grain per cup to stone per cubic foot conversion exact?
Yes. Both grain per cup and stone per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 0.001221309303 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.