Mass per volume density.
Grains per Cup to Long tons per Cubic yard Converter — gr/cup to long ton/yd3
Convert Grain per Cup (gr/cup) to Long ton per Cubic yard (long ton/yd3) using the exact conversion factor (1 grain per cup = 0.0002060959 long ton per cubic yard). See the formula, worked examples, and conversion table.
Grains per Cup to Long tons 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 / 1328.939184.
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 Long tons per Cubic yard
Grain per Cup and Long ton 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
long tons per cubic yard = grains per cup × 0.000206095944871
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 long ton per cubic yard equals 1328.93918362 base units, so dividing one by the other gives the direct grain per cup-to-long ton per cubic yard factor of 0.000206095944871.
Simple example
1 gr/cup × 0.0002060959449 = 0.0002060959 long ton/yd3
1 grain per cup = 0.0002060959 long tons per cubic yard.
Real-world example
1,000 gr/cup × 0.0002060959449 = 0.2060959449 long ton/yd3
1,000 grains per cup = 0.2060959449 long tons per cubic yard.
Conversion table
| Grain per Cup (gr/cup) | Long ton per Cubic yard (long ton/yd3) |
|---|---|
| 0.1 gr/cup | 0.0000206096 long ton/yd3 |
| 1 gr/cup | 0.0002060959 long ton/yd3 |
| 10 gr/cup | 0.0020609594 long ton/yd3 |
| 100 gr/cup | 0.0206095945 long ton/yd3 |
| 1,000 gr/cup | 0.2060959449 long ton/yd3 |
| 10,000 gr/cup | 2.060959449 long ton/yd3 |
Reverse conversion: Long ton per Cubic yard to Grain per Cup
0.0002060959 long ton/yd3 × 4852.109053 = 0.9999997823 gr/cup
0.0002060959 long tons per cubic yard = 0.9999997823 grains per cup.
grains per cup = long tons per cubic yard × 4852.1090535
For a page dedicated to this direction, see Long ton per Cubic yard to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Long ton per Cubic yard (long ton/yd3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many long tons per cubic yard are in 1 grain per cup?
1 grain per cup equals 0.0002060959 long tons per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to long ton per cubic yard?
Multiply the grain per cup value by 0.0002060959449. The converter above does this instantly to whatever precision you set.
How do I convert long ton per cubic yard back to grain per cup?
Use the reverse factor: 1 long ton per cubic yard equals 4,852.109053 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 long ton per cubic yard?
Long ton per Cubic yard (long ton/yd3) is a unit of density.
Is the grain per cup to long ton per cubic yard conversion exact?
Yes. Both grain per cup and long ton per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 0.0002060959449 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.