Mass per volume density.
Stones per Cubic yard to Grains per Cup Converter — st/yd3 to gr/cup
Convert Stone per Cubic yard (st/yd3) to Grain per Cup (gr/cup) using the exact conversion factor (1 stone per cubic yard = 30.32568158 grain per cup). See the formula, worked examples, and conversion table.
Stones per Cubic yard 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 8.305869898 / 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 yard to Grains per Cup
Stone per Cubic yard 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 yard × 30.3256815844
This factor comes from each unit's defined relationship to the category's base unit: 1 stone per cubic yard equals 8.30586989761 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct stone per cubic yard-to-grain per cup factor of 30.3256815844.
Simple example
1 st/yd3 × 30.32568158 = 30.32568158 gr/cup
1 stone per cubic yard = 30.32568158 grains per cup.
Real-world example
1,000 st/yd3 × 30.32568158 = 30,325.68158 gr/cup
1,000 stones per cubic yard = 30,325.68158 grains per cup.
Conversion table
| Stone per Cubic yard (st/yd3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 st/yd3 | 3.032568158 gr/cup |
| 1 st/yd3 | 30.32568158 gr/cup |
| 10 st/yd3 | 303.2568158 gr/cup |
| 100 st/yd3 | 3,032.568158 gr/cup |
| 1,000 st/yd3 | 30,325.68158 gr/cup |
| 10,000 st/yd3 | 303,256.8158 gr/cup |
Reverse conversion: Grain per Cup to Stone per Cubic yard
30.32568158 gr/cup × 0.03297535118 = 0.9999999999 st/yd3
30.32568158 grains per cup = 0.9999999999 stones per cubic yard.
stones per cubic yard = grains per cup × 0.0329753511794
For a page dedicated to this direction, see Grain per Cup to Stone per Cubic yard.
Understanding the Stone per Cubic yard (st/yd3)
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 yard?
1 stone per cubic yard equals 30.32568158 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert stone per cubic yard to grain per cup?
Multiply the stone per cubic yard value by 30.32568158. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to stone per cubic yard?
Use the reverse factor: 1 grain per cup equals 0.0329753512 stones per cubic yard. You can also use the swap control in the converter above to flip the direction instantly.
What is a stone per cubic yard?
Stone per Cubic yard (st/yd3) 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 yard to grain per cup conversion exact?
Yes. Both stone per cubic yard and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 30.32568158 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.