Mass per volume density.
Grains per Cubic Millimeter to Long tons per Cubic yard Converter — gr/mm3 to long ton/yd3
Convert Grain per Cubic Millimeter (gr/mm3) to Long ton per Cubic yard (long ton/yd3) using the exact conversion factor (1 grain per cubic millimeter = 48.75987615 long ton per cubic yard). See the formula, worked examples, and conversion table.
Grains per Cubic Millimeter 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 64798.91 / 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 Cubic Millimeter to Long tons per Cubic yard
Grain per Cubic Millimeter 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 cubic millimeter × 48.7598761469
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic millimeter equals 64798.91 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 cubic millimeter-to-long ton per cubic yard factor of 48.7598761469.
Simple example
1 gr/mm3 × 48.75987615 = 48.75987615 long ton/yd3
1 grain per cubic millimeter = 48.75987615 long tons per cubic yard.
Real-world example
1,000 gr/mm3 × 48.75987615 = 48,759.87615 long ton/yd3
1,000 grains per cubic millimeter = 48,759.87615 long tons per cubic yard.
Conversion table
| Grain per Cubic Millimeter (gr/mm3) | Long ton per Cubic yard (long ton/yd3) |
|---|---|
| 0.1 gr/mm3 | 4.875987615 long ton/yd3 |
| 1 gr/mm3 | 48.75987615 long ton/yd3 |
| 10 gr/mm3 | 487.5987615 long ton/yd3 |
| 100 gr/mm3 | 4,875.987615 long ton/yd3 |
| 1,000 gr/mm3 | 48,759.87615 long ton/yd3 |
| 10,000 gr/mm3 | 487,598.7615 long ton/yd3 |
Reverse conversion: Long ton per Cubic yard to Grain per Cubic Millimeter
48.75987615 long ton/yd3 × 0.02050866571 = 1 gr/mm3
48.75987615 long tons per cubic yard = 1 grains per cubic millimeter.
grains per cubic millimeter = long tons per cubic yard × 0.0205086657108
For a page dedicated to this direction, see Long ton per Cubic yard to Grain per Cubic Millimeter.
Understanding the Grain per Cubic Millimeter (gr/mm3)
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 cubic millimeter?
1 grain per cubic millimeter equals 48.75987615 long tons per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic millimeter to long ton per cubic yard?
Multiply the grain per cubic millimeter value by 48.75987615. The converter above does this instantly to whatever precision you set.
How do I convert long ton per cubic yard back to grain per cubic millimeter?
Use the reverse factor: 1 long ton per cubic yard equals 0.0205086657 grains per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic millimeter?
Grain per Cubic Millimeter (gr/mm3) 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 cubic millimeter to long ton per cubic yard conversion exact?
Yes. Both grain per cubic millimeter and long ton per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 48.75987615 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.