Mass per volume density.
Grains per Cubic Millimeter to Slugs per Cup Converter — gr/mm3 to slug/cup
Convert Grain per Cubic Millimeter (gr/mm3) to Slug per Cup (slug/cup) using the exact conversion factor (1 grain per cubic millimeter = 1.050483884 slug per cup). See the formula, worked examples, and conversion table.
Grains per Cubic Millimeter to Slugs 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 64798.91 / 61684.82065.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cubic Millimeter to Slugs per Cup
Grain per Cubic Millimeter and Slug 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
slugs per cup = grains per cubic millimeter × 1.05048388426
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic millimeter equals 64798.91 base units, and 1 slug per cup equals 61684.8206534 base units, so dividing one by the other gives the direct grain per cubic millimeter-to-slug per cup factor of 1.05048388426.
Simple example
1 gr/mm3 × 1.050483884 = 1.050483884 slug/cup
1 grain per cubic millimeter = 1.050483884 slugs per cup.
Real-world example
1,000 gr/mm3 × 1.050483884 = 1,050.483884 slug/cup
1,000 grains per cubic millimeter = 1,050.483884 slugs per cup.
Conversion table
| Grain per Cubic Millimeter (gr/mm3) | Slug per Cup (slug/cup) |
|---|---|
| 0.1 gr/mm3 | 0.1050483884 slug/cup |
| 1 gr/mm3 | 1.050483884 slug/cup |
| 10 gr/mm3 | 10.50483884 slug/cup |
| 100 gr/mm3 | 105.0483884 slug/cup |
| 1,000 gr/mm3 | 1,050.483884 slug/cup |
| 10,000 gr/mm3 | 10,504.83884 slug/cup |
Reverse conversion: Slug per Cup to Grain per Cubic Millimeter
1.050483884 slug/cup × 0.9519422573 = 0.9999999997 gr/mm3
1.050483884 slugs per cup = 0.9999999997 grains per cubic millimeter.
grains per cubic millimeter = slugs per cup × 0.95194225726
For a page dedicated to this direction, see Slug per Cup to Grain per Cubic Millimeter.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Understanding the Slug per Cup (slug/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many slugs per cup are in 1 grain per cubic millimeter?
1 grain per cubic millimeter equals 1.050483884 slugs per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic millimeter to slug per cup?
Multiply the grain per cubic millimeter value by 1.050483884. The converter above does this instantly to whatever precision you set.
How do I convert slug per cup back to grain per cubic millimeter?
Use the reverse factor: 1 slug per cup equals 0.9519422573 grains per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic millimeter?
Grain per Cubic Millimeter (gr/mm3) is a unit of density.
What is a slug per cup?
Slug per Cup (slug/cup) is a unit of density.
Is the grain per cubic millimeter to slug per cup conversion exact?
Yes. Both grain per cubic millimeter and slug per cup are defined by fixed standards rather than physical artifacts, so the factor of 1.050483884 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.