Mass per volume density.
Grains per Cup to Stones per Cubic yard Converter — gr/cup to st/yd3
Convert Grain per Cup (gr/cup) to Stone per Cubic yard (st/yd3) using the exact conversion factor (1 grain per cup = 0.0329753512 stone per cubic yard). See the formula, worked examples, and conversion table.
Grains per Cup to Stones per Cubic yard 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 / 8.305869898.
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 yard
Grain per Cup and Stone per Cubic yard 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 yard = grains per cup × 0.0329753511794
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 yard equals 8.30586989761 base units, so dividing one by the other gives the direct grain per cup-to-stone per cubic yard factor of 0.0329753511794.
Simple example
1 gr/cup × 0.03297535118 = 0.0329753512 st/yd3
1 grain per cup = 0.0329753512 stones per cubic yard.
Real-world example
1,000 gr/cup × 0.03297535118 = 32.97535118 st/yd3
1,000 grains per cup = 32.97535118 stones per cubic yard.
Conversion table
| Grain per Cup (gr/cup) | Stone per Cubic yard (st/yd3) |
|---|---|
| 0.1 gr/cup | 0.0032975351 st/yd3 |
| 1 gr/cup | 0.0329753512 st/yd3 |
| 10 gr/cup | 0.3297535118 st/yd3 |
| 100 gr/cup | 3.297535118 st/yd3 |
| 1,000 gr/cup | 32.97535118 st/yd3 |
| 10,000 gr/cup | 329.7535118 st/yd3 |
Reverse conversion: Stone per Cubic yard to Grain per Cup
0.0329753512 st/yd3 × 30.32568158 = 1.000000001 gr/cup
0.0329753512 stones per cubic yard = 1.000000001 grains per cup.
grains per cup = stones per cubic yard × 30.3256815844
For a page dedicated to this direction, see Stone per Cubic yard to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Stone per Cubic yard (st/yd3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many stones per cubic yard are in 1 grain per cup?
1 grain per cup equals 0.0329753512 stones per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to stone per cubic yard?
Multiply the grain per cup value by 0.03297535118. The converter above does this instantly to whatever precision you set.
How do I convert stone per cubic yard back to grain per cup?
Use the reverse factor: 1 stone per cubic yard equals 30.32568158 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 yard?
Stone per Cubic yard (st/yd3) is a unit of density.
Is the grain per cup to stone per cubic yard conversion exact?
Yes. Both grain per cup and stone per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 0.03297535118 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.