Mass per volume density.
Drams per Cup to Grains per Cubic Millimeter Converter — dr/cup to gr/mm3
Convert Dram per Cup (dr/cup) to Grain per Cubic Millimeter (gr/mm3) using the exact conversion factor (1 dram per cup = 0.0001155753 grain per cubic millimeter). See the formula, worked examples, and conversion table.
Drams per Cup to Grains per Cubic Millimeter 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 / 64798.91.
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 Cubic Millimeter
Dram per Cup and Grain per Cubic Millimeter 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 cubic millimeter = drams per cup × 0.000115575272907
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 cubic millimeter equals 64798.91 base units, so dividing one by the other gives the direct dram per cup-to-grain per cubic millimeter factor of 0.000115575272907.
Simple example
1 dr/cup × 0.0001155752729 = 0.0001155753 gr/mm3
1 dram per cup = 0.0001155753 grains per cubic millimeter.
Real-world example
1,000 dr/cup × 0.0001155752729 = 0.1155752729 gr/mm3
1,000 drams per cup = 0.1155752729 grains per cubic millimeter.
Conversion table
| Dram per Cup (dr/cup) | Grain per Cubic Millimeter (gr/mm3) |
|---|---|
| 0.1 dr/cup | 0.0000115575 gr/mm3 |
| 1 dr/cup | 0.0001155753 gr/mm3 |
| 10 dr/cup | 0.0011557527 gr/mm3 |
| 100 dr/cup | 0.0115575273 gr/mm3 |
| 1,000 dr/cup | 0.1155752729 gr/mm3 |
| 10,000 dr/cup | 1.155752729 gr/mm3 |
Reverse conversion: Grain per Cubic Millimeter to Dram per Cup
0.0001155753 gr/mm3 × 8652.369792 = 1.000000234 dr/cup
0.0001155753 grains per cubic millimeter = 1.000000234 drams per cup.
drams per cup = grains per cubic millimeter × 8652.369792
For a page dedicated to this direction, see Grain per Cubic Millimeter to Dram per Cup.
Understanding the Dram per Cup (dr/cup)
Mass per volume density.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic millimeter are in 1 dram per cup?
1 dram per cup equals 0.0001155753 grains per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cup to grain per cubic millimeter?
Multiply the dram per cup value by 0.0001155752729. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic millimeter back to dram per cup?
Use the reverse factor: 1 grain per cubic millimeter equals 8,652.369792 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 cubic millimeter?
Grain per Cubic Millimeter (gr/mm3) is a unit of density.
Is the dram per cup to grain per cubic millimeter conversion exact?
Yes. Both dram per cup and grain per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.0001155752729 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.