Mass per volume density.
Grains per Cup to Dram per Cubic inches Converter — gr/cup to dr/in3
Convert Grain per Cup (gr/cup) to Dram per Cubic inch (dr/in3) using the exact conversion factor (1 grain per cup = 0.002533086 dram per cubic inch). See the formula, worked examples, and conversion table.
Grains per Cup to Dram per Cubic inches 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 / 108.1246278.
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 Dram per Cubic inches
Grain per Cup and Dram per Cubic inch 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
dram per cubic inches = grains per cup × 0.00253308596166
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 dram per cubic inch equals 108.124627774 base units, so dividing one by the other gives the direct grain per cup-to-dram per cubic inch factor of 0.00253308596166.
Simple example
1 gr/cup × 0.002533085962 = 0.002533086 dr/in3
1 grain per cup = 0.002533086 dram per cubic inches.
Real-world example
1,000 gr/cup × 0.002533085962 = 2.533085962 dr/in3
1,000 grains per cup = 2.533085962 dram per cubic inches.
Conversion table
| Grain per Cup (gr/cup) | Dram per Cubic inch (dr/in3) |
|---|---|
| 0.1 gr/cup | 0.0002533086 dr/in3 |
| 1 gr/cup | 0.002533086 dr/in3 |
| 10 gr/cup | 0.0253308596 dr/in3 |
| 100 gr/cup | 0.2533085962 dr/in3 |
| 1,000 gr/cup | 2.533085962 dr/in3 |
| 10,000 gr/cup | 25.33085962 dr/in3 |
Reverse conversion: Dram per Cubic inch to Grain per Cup
0.002533086 dr/in3 × 394.7753906 = 1.000000015 gr/cup
0.002533086 dram per cubic inches = 1.000000015 grains per cup.
grains per cup = dram per cubic inches × 394.775390625
For a page dedicated to this direction, see Dram per Cubic inch to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Dram per Cubic inch (dr/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many dram per cubic inches are in 1 grain per cup?
1 grain per cup equals 0.002533086 dram per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to dram per cubic inch?
Multiply the grain per cup value by 0.002533085962. The converter above does this instantly to whatever precision you set.
How do I convert dram per cubic inch back to grain per cup?
Use the reverse factor: 1 dram per cubic inch equals 394.7753906 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 dram per cubic inch?
Dram per Cubic inch (dr/in3) is a unit of density.
Is the grain per cup to dram per cubic inch conversion exact?
Yes. Both grain per cup and dram per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 0.002533085962 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.