Mass per volume density.
Grains per Gallon to Milligrams per Cubic yard Converter — gr/gal to mg/yd3
Convert Grain per Gallon (gr/gal) to Milligram per Cubic yard (mg/yd3) using the exact conversion factor (1 grain per gallon = 13,087.69673 milligram per cubic yard). See the formula, worked examples, and conversion table.
Grains per Gallon to Milligrams 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 0.01711806105 / 1.30795062e-6.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Gallon to Milligrams per Cubic yard
Grain per Gallon and Milligram 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
milligrams per cubic yard = grains per gallon × 13087.6967314
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per gallon equals 0.0171180610453 base units, and 1 milligram per cubic yard equals 0.00000130795061931 base units, so dividing one by the other gives the direct grain per gallon-to-milligram per cubic yard factor of 13087.6967314.
Simple example
1 gr/gal × 13087.69673 = 13,087.69673 mg/yd3
1 grain per gallon = 13,087.69673 milligrams per cubic yard.
Real-world example
1,000 gr/gal × 13087.69673 = 13,087,696.73 mg/yd3
1,000 grains per gallon = 13,087,696.73 milligrams per cubic yard.
Conversion table
| Grain per Gallon (gr/gal) | Milligram per Cubic yard (mg/yd3) |
|---|---|
| 0.1 gr/gal | 1,308.769673 mg/yd3 |
| 1 gr/gal | 13,087.69673 mg/yd3 |
| 10 gr/gal | 130,876.9673 mg/yd3 |
| 100 gr/gal | 1,308,769.673 mg/yd3 |
| 1,000 gr/gal | 13,087,696.73 mg/yd3 |
| 10,000 gr/gal | 130,876,967.3 mg/yd3 |
Reverse conversion: Milligram per Cubic yard to Grain per Gallon
1 mg/yd3 × 0.00007640763845 = 0.0000764076 gr/gal
1 milligram per cubic yard = 0.0000764076 grains per gallon.
grains per gallon = milligrams per cubic yard × 0.0000764076384501
For a page dedicated to this direction, see Milligram per Cubic yard to Grain per Gallon.
Understanding the Grain per Gallon (gr/gal)
Mass per volume density.
Understanding the Milligram per Cubic yard (mg/yd3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milligrams per cubic yard are in 1 grain per gallon?
1 grain per gallon equals 13,087.69673 milligrams per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert grain per gallon to milligram per cubic yard?
Multiply the grain per gallon value by 13087.69673. The converter above does this instantly to whatever precision you set.
How do I convert milligram per cubic yard back to grain per gallon?
Use the reverse factor: 1 milligram per cubic yard equals 0.0000764076 grains per gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per gallon?
Grain per Gallon (gr/gal) is a unit of density.
What is a milligram per cubic yard?
Milligram per Cubic yard (mg/yd3) is a unit of density.
Is the grain per gallon to milligram per cubic yard conversion exact?
Yes. Both grain per gallon and milligram per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 13087.69673 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.