Mass per volume density.
Drams per Cup to Milligrams per Cubic Millimeter Converter — dr/cup to mg/mm3
Convert Dram per Cup (dr/cup) to Milligram per Cubic Millimeter (mg/mm3) using the exact conversion factor (1 dram per cup = 0.0074891517 milligram per cubic millimeter). See the formula, worked examples, and conversion table.
Drams per Cup to Milligrams 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 / 1000.
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 Milligrams per Cubic Millimeter
Dram per Cup and Milligram 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
milligrams per cubic millimeter = drams per cup × 0.00748915170731
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 milligram per cubic millimeter equals 1000 base units, so dividing one by the other gives the direct dram per cup-to-milligram per cubic millimeter factor of 0.00748915170731.
Simple example
1 dr/cup × 0.007489151707 = 0.0074891517 mg/mm3
1 dram per cup = 0.0074891517 milligrams per cubic millimeter.
Real-world example
1,000 dr/cup × 0.007489151707 = 7.489151707 mg/mm3
1,000 drams per cup = 7.489151707 milligrams per cubic millimeter.
Conversion table
| Dram per Cup (dr/cup) | Milligram per Cubic Millimeter (mg/mm3) |
|---|---|
| 0.1 dr/cup | 0.0007489152 mg/mm3 |
| 1 dr/cup | 0.0074891517 mg/mm3 |
| 10 dr/cup | 0.0748915171 mg/mm3 |
| 100 dr/cup | 0.7489151707 mg/mm3 |
| 1,000 dr/cup | 7.489151707 mg/mm3 |
| 10,000 dr/cup | 74.89151707 mg/mm3 |
Reverse conversion: Milligram per Cubic Millimeter to Dram per Cup
0.0074891517 mg/mm3 × 133.5264712 = 0.999999999 dr/cup
0.0074891517 milligrams per cubic millimeter = 0.999999999 drams per cup.
drams per cup = milligrams per cubic millimeter × 133.526471232
For a page dedicated to this direction, see Milligram per Cubic Millimeter to Dram per Cup.
Understanding the Dram per Cup (dr/cup)
Mass per volume density.
Understanding the Milligram per Cubic Millimeter (mg/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milligrams per cubic millimeter are in 1 dram per cup?
1 dram per cup equals 0.0074891517 milligrams per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cup to milligram per cubic millimeter?
Multiply the dram per cup value by 0.007489151707. The converter above does this instantly to whatever precision you set.
How do I convert milligram per cubic millimeter back to dram per cup?
Use the reverse factor: 1 milligram per cubic millimeter equals 133.5264712 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 milligram per cubic millimeter?
Milligram per Cubic Millimeter (mg/mm3) is a unit of density.
Is the dram per cup to milligram per cubic millimeter conversion exact?
Yes. Both dram per cup and milligram per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.007489151707 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.