Mass per volume density.
Grains per Cup to Stones per Cubic Meter Converter — gr/cup to st/m3
Convert Grain per Cup (gr/cup) to Stone per Cubic Meter (st/m3) using the exact conversion factor (1 grain per cup = 0.043130131 stone per cubic meter). See the formula, worked examples, and conversion table.
Grains per Cup to Stones per Cubic Meter 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 0.2738889767 / 6.35029318.
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 Meter
Grain per Cup and Stone per Cubic Meter 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 meter = grains per cup × 0.0431301309972
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 meter equals 6.35029318 base units, so dividing one by the other gives the direct grain per cup-to-stone per cubic meter factor of 0.0431301309972.
Simple example
1 gr/cup × 0.043130131 = 0.043130131 st/m3
1 grain per cup = 0.043130131 stones per cubic meter.
Real-world example
1,000 gr/cup × 0.043130131 = 43.130131 st/m3
1,000 grains per cup = 43.130131 stones per cubic meter.
Conversion table
| Grain per Cup (gr/cup) | Stone per Cubic Meter (st/m3) |
|---|---|
| 0.1 gr/cup | 0.0043130131 st/m3 |
| 1 gr/cup | 0.043130131 st/m3 |
| 10 gr/cup | 0.43130131 st/m3 |
| 100 gr/cup | 4.3130131 st/m3 |
| 1,000 gr/cup | 43.130131 st/m3 |
| 10,000 gr/cup | 431.30131 st/m3 |
Reverse conversion: Stone per Cubic Meter to Grain per Cup
0.043130131 st/m3 × 23.18564718 = 1 gr/cup
0.043130131 stones per cubic meter = 1 grains per cup.
grains per cup = stones per cubic meter × 23.185647177
For a page dedicated to this direction, see Stone per Cubic Meter to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Stone per Cubic Meter (st/m3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many stones per cubic meter are in 1 grain per cup?
1 grain per cup equals 0.043130131 stones per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to stone per cubic meter?
Multiply the grain per cup value by 0.043130131. The converter above does this instantly to whatever precision you set.
How do I convert stone per cubic meter back to grain per cup?
Use the reverse factor: 1 stone per cubic meter equals 23.18564718 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 meter?
Stone per Cubic Meter (st/m3) is a unit of density.
Is the grain per cup to stone per cubic meter conversion exact?
Yes. Both grain per cup and stone per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 0.043130131 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.