Mass per volume density.
Dram per Cubic inches to Grains per Cup Converter — dr/in3 to gr/cup
Convert Dram per Cubic inch (dr/in3) to Grain per Cup (gr/cup) using the exact conversion factor (1 dram per cubic inch = 394.7753906 grain per cup). See the formula, worked examples, and conversion table.
Dram per Cubic inches to Grains per Cup 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 108.1246278 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Dram per Cubic inches to Grains per Cup
Dram per Cubic inch and Grain per Cup 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 cup = dram per cubic inches × 394.775390625
This factor comes from each unit's defined relationship to the category's base unit: 1 dram per cubic inch equals 108.124627774 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct dram per cubic inch-to-grain per cup factor of 394.775390625.
Simple example
1 dr/in3 × 394.7753906 = 394.7753906 gr/cup
1 dram per cubic inch = 394.7753906 grains per cup.
Real-world example
1,000 dr/in3 × 394.7753906 = 394,775.3906 gr/cup
1,000 dram per cubic inches = 394,775.3906 grains per cup.
Conversion table
| Dram per Cubic inch (dr/in3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 dr/in3 | 39.47753906 gr/cup |
| 1 dr/in3 | 394.7753906 gr/cup |
| 10 dr/in3 | 3,947.753906 gr/cup |
| 100 dr/in3 | 39,477.53906 gr/cup |
| 1,000 dr/in3 | 394,775.3906 gr/cup |
| 10,000 dr/in3 | 3,947,753.906 gr/cup |
Reverse conversion: Grain per Cup to Dram per Cubic inch
394.7753906 gr/cup × 0.002533085962 = 0.9999999999 dr/in3
394.7753906 grains per cup = 0.9999999999 dram per cubic inches.
dram per cubic inches = grains per cup × 0.00253308596166
For a page dedicated to this direction, see Grain per Cup to Dram per Cubic inch.
Understanding the Dram per Cubic inch (dr/in3)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 dram per cubic inch?
1 dram per cubic inch equals 394.7753906 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cubic inch to grain per cup?
Multiply the dram per cubic inch value by 394.7753906. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to dram per cubic inch?
Use the reverse factor: 1 grain per cup equals 0.002533086 dram per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a dram per cubic inch?
Dram per Cubic inch (dr/in3) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the dram per cubic inch to grain per cup conversion exact?
Yes. Both dram per cubic inch and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 394.7753906 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.