Mass per volume density.
Drams per Cup to Grains per Gallon Converter — dr/cup to gr/gal
Convert Dram per Cup (dr/cup) to Grain per Gallon (gr/gal) using the exact conversion factor (1 dram per cup = 437.5 grain per gallon). See the formula, worked examples, and conversion table.
Drams per Cup to Grains per Gallon 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 7.489151707 / 0.01711806105.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Drams per Cup to Grains per Gallon
Dram per Cup and Grain per Gallon 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 gallon = drams per cup × 437.5
This factor comes from each unit's defined relationship to the category's base unit: 1 dram per cup equals 7.48915170731 base units, and 1 grain per gallon equals 0.0171180610453 base units, so dividing one by the other gives the direct dram per cup-to-grain per gallon factor of 437.5.
Simple example
1 dr/cup × 437.5 = 437.5 gr/gal
1 dram per cup = 437.5 grains per gallon.
Real-world example
1,000 dr/cup × 437.5 = 437,500 gr/gal
1,000 drams per cup = 437,500 grains per gallon.
Conversion table
| Dram per Cup (dr/cup) | Grain per Gallon (gr/gal) |
|---|---|
| 0.1 dr/cup | 43.75 gr/gal |
| 1 dr/cup | 437.5 gr/gal |
| 10 dr/cup | 4,375 gr/gal |
| 100 dr/cup | 43,750 gr/gal |
| 1,000 dr/cup | 437,500 gr/gal |
| 10,000 dr/cup | 4,375,000 gr/gal |
Reverse conversion: Grain per Gallon to Dram per Cup
437.5 gr/gal × 0.002285714286 = 1 dr/cup
437.5 grains per gallon = 1 drams per cup.
drams per cup = grains per gallon × 0.00228571428571
For a page dedicated to this direction, see Grain per Gallon to Dram per Cup.
Understanding the Dram per Cup (dr/cup)
Mass per volume density.
Understanding the Grain per Gallon (gr/gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per gallon are in 1 dram per cup?
1 dram per cup equals 437.5 grains per gallon, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cup to grain per gallon?
Multiply the dram per cup value by 437.5. The converter above does this instantly to whatever precision you set.
How do I convert grain per gallon back to dram per cup?
Use the reverse factor: 1 grain per gallon equals 0.0022857143 drams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a dram per cup?
Dram per Cup (dr/cup) is a unit of density.
What is a grain per gallon?
Grain per Gallon (gr/gal) is a unit of density.
Is the dram per cup to grain per gallon conversion exact?
Yes. Both dram per cup and grain per gallon are defined by fixed standards rather than physical artifacts, so the factor of 437.5 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.