Mass per volume density.
Grains per Cup to Short tons per Cubic Millimeter Converter — gr/cup to ton/mm3
Convert Grain per Cup (gr/cup) to Short ton per Cubic Millimeter (ton/mm3) using the exact conversion factor (1 grain per cup = 3.019109e-13 short ton per cubic millimeter). See the formula, worked examples, and conversion table.
Grains per Cup to Short tons 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 0.2738889767 / 9.0718474e+11.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Short tons per Cubic Millimeter
Grain per Cup and Short ton 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
short tons per cubic millimeter = grains per cup × 3.019109e-13
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 short ton per cubic millimeter equals 907184740000 base units, so dividing one by the other gives the direct grain per cup-to-short ton per cubic millimeter factor of 3.019109e-13.
Simple example
1 gr/cup × 3.019109e-13 = 3.019109e-13 ton/mm3
1 grain per cup = 3.019109e-13 short tons per cubic millimeter.
Real-world example
1,000 gr/cup × 3.019109e-13 = 3.019109e-10 ton/mm3
1,000 grains per cup = 3.019109e-10 short tons per cubic millimeter.
Conversion table
| Grain per Cup (gr/cup) | Short ton per Cubic Millimeter (ton/mm3) |
|---|---|
| 0.1 gr/cup | 3.019109e-14 ton/mm3 |
| 1 gr/cup | 3.019109e-13 ton/mm3 |
| 10 gr/cup | 3.019109e-12 ton/mm3 |
| 100 gr/cup | 3.019109e-11 ton/mm3 |
| 1,000 gr/cup | 3.019109e-10 ton/mm3 |
| 10,000 gr/cup | 3.019109e-9 ton/mm3 |
Reverse conversion: Short ton per Cubic Millimeter to Grain per Cup
3.019109e-13 ton/mm3 × 3.312235e+12 = 0.9999999438 gr/cup
3.019109e-13 short tons per cubic millimeter = 0.9999999438 grains per cup.
grains per cup = short tons per cubic millimeter × 3.312235e+12
For a page dedicated to this direction, see Short ton per Cubic Millimeter to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Short ton per Cubic Millimeter (ton/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many short tons per cubic millimeter are in 1 grain per cup?
1 grain per cup equals 3.019109e-13 short tons per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to short ton per cubic millimeter?
Multiply the grain per cup value by 3.019109e-13. The converter above does this instantly to whatever precision you set.
How do I convert short ton per cubic millimeter back to grain per cup?
Use the reverse factor: 1 short ton per cubic millimeter equals 3.312235e+12 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a short ton per cubic millimeter?
Short ton per Cubic Millimeter (ton/mm3) is a unit of density.
Is the grain per cup to short ton per cubic millimeter conversion exact?
Yes. Both grain per cup and short ton per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 3.019109e-13 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.