Mass per volume density.
Grains per Cubic Millimeter to Grams per Cup Converter — gr/mm3 to g/cup
Convert Grain per Cubic Millimeter (gr/mm3) to Gram per Cup (g/cup) using the exact conversion factor (1 grain per cubic millimeter = 15,330.65984 gram per cup). See the formula, worked examples, and conversion table.
Grains per Cubic Millimeter to Grams 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 / 4.226752838.
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 Grams per Cup
Grain per Cubic Millimeter and Gram 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
grams per cup = grains per cubic millimeter × 15330.659844
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 gram per cup equals 4.22675283773 base units, so dividing one by the other gives the direct grain per cubic millimeter-to-gram per cup factor of 15330.659844.
Simple example
1 gr/mm3 × 15330.65984 = 15,330.65984 g/cup
1 grain per cubic millimeter = 15,330.65984 grams per cup.
Real-world example
1,000 gr/mm3 × 15330.65984 = 15,330,659.84 g/cup
1,000 grains per cubic millimeter = 15,330,659.84 grams per cup.
Conversion table
| Grain per Cubic Millimeter (gr/mm3) | Gram per Cup (g/cup) |
|---|---|
| 0.1 gr/mm3 | 1,533.065984 g/cup |
| 1 gr/mm3 | 15,330.65984 g/cup |
| 10 gr/mm3 | 153,306.5984 g/cup |
| 100 gr/mm3 | 1,533,065.984 g/cup |
| 1,000 gr/mm3 | 15,330,659.84 g/cup |
| 10,000 gr/mm3 | 153,306,598.4 g/cup |
Reverse conversion: Gram per Cup to Grain per Cubic Millimeter
1 g/cup × 0.00006522876446 = 0.0000652288 gr/mm3
1 gram per cup = 0.0000652288 grains per cubic millimeter.
grains per cubic millimeter = grams per cup × 0.0000652287644612
For a page dedicated to this direction, see Gram per Cup to Grain per Cubic Millimeter.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Understanding the Gram per Cup (g/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grams per cup are in 1 grain per cubic millimeter?
1 grain per cubic millimeter equals 15,330.65984 grams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic millimeter to gram per cup?
Multiply the grain per cubic millimeter value by 15330.65984. The converter above does this instantly to whatever precision you set.
How do I convert gram per cup back to grain per cubic millimeter?
Use the reverse factor: 1 gram per cup equals 0.0000652288 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 gram per cup?
Gram per Cup (g/cup) is a unit of density.
Is the grain per cubic millimeter to gram per cup conversion exact?
Yes. Both grain per cubic millimeter and gram per cup are defined by fixed standards rather than physical artifacts, so the factor of 15330.65984 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.