Mass per volume density.
Grams per Cup to Grains per Cubic Millimeter Converter — g/cup to gr/mm3
Convert Gram per Cup (g/cup) to Grain per Cubic Millimeter (gr/mm3) using the exact conversion factor (1 gram per cup = 0.0000652288 grain per cubic millimeter). See the formula, worked examples, and conversion table.
Grams 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 4.226752838 / 64798.91.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grams per Cup to Grains per Cubic Millimeter
Gram 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 = grams per cup × 0.0000652287644612
This factor comes from each unit's defined relationship to the category's base unit: 1 gram per cup equals 4.22675283773 base units, and 1 grain per cubic millimeter equals 64798.91 base units, so dividing one by the other gives the direct gram per cup-to-grain per cubic millimeter factor of 0.0000652287644612.
Simple example
1 g/cup × 0.00006522876446 = 0.0000652288 gr/mm3
1 gram per cup = 0.0000652288 grains per cubic millimeter.
Real-world example
1,000 g/cup × 0.00006522876446 = 0.0652287645 gr/mm3
1,000 grams per cup = 0.0652287645 grains per cubic millimeter.
Conversion table
| Gram per Cup (g/cup) | Grain per Cubic Millimeter (gr/mm3) |
|---|---|
| 0.1 g/cup | 0.0000065229 gr/mm3 |
| 1 g/cup | 0.0000652288 gr/mm3 |
| 10 g/cup | 0.0006522876 gr/mm3 |
| 100 g/cup | 0.0065228764 gr/mm3 |
| 1,000 g/cup | 0.0652287645 gr/mm3 |
| 10,000 g/cup | 0.6522876446 gr/mm3 |
Reverse conversion: Grain per Cubic Millimeter to Gram per Cup
0.0000652288 gr/mm3 × 15330.65984 = 1.000000545 g/cup
0.0000652288 grains per cubic millimeter = 1.000000545 grams per cup.
grams per cup = grains per cubic millimeter × 15330.659844
For a page dedicated to this direction, see Grain per Cubic Millimeter to Gram per Cup.
Understanding the Gram per Cup (g/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 gram per cup?
1 gram per cup equals 0.0000652288 grains per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert gram per cup to grain per cubic millimeter?
Multiply the gram per cup value by 0.00006522876446. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic millimeter back to gram per cup?
Use the reverse factor: 1 grain per cubic millimeter equals 15,330.65984 grams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a gram per cup?
Gram per Cup (g/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 gram per cup to grain per cubic millimeter conversion exact?
Yes. Both gram per cup and grain per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.00006522876446 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.