Mass per volume density.
Grains per Cubic Millimeter to Short tons per Cup Converter — gr/mm3 to ton/cup
Convert Grain per Cubic Millimeter (gr/mm3) to Short ton per Cup (ton/cup) using the exact conversion factor (1 grain per cubic millimeter = 0.0168991598 short ton per cup). See the formula, worked examples, and conversion table.
Grains per Cubic Millimeter to Short tons 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 / 3.83444567e+6.
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 Short tons per Cup
Grain per Cubic Millimeter and Short ton 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
short tons per cup = grains per cubic millimeter × 0.01689915975
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 short ton per cup equals 3834445.67414 base units, so dividing one by the other gives the direct grain per cubic millimeter-to-short ton per cup factor of 0.01689915975.
Simple example
1 gr/mm3 × 0.01689915975 = 0.0168991598 ton/cup
1 grain per cubic millimeter = 0.0168991598 short tons per cup.
Real-world example
1,000 gr/mm3 × 0.01689915975 = 16.89915975 ton/cup
1,000 grains per cubic millimeter = 16.89915975 short tons per cup.
Conversion table
| Grain per Cubic Millimeter (gr/mm3) | Short ton per Cup (ton/cup) |
|---|---|
| 0.1 gr/mm3 | 0.001689916 ton/cup |
| 1 gr/mm3 | 0.0168991598 ton/cup |
| 10 gr/mm3 | 0.1689915975 ton/cup |
| 100 gr/mm3 | 1.689915975 ton/cup |
| 1,000 gr/mm3 | 16.89915975 ton/cup |
| 10,000 gr/mm3 | 168.9915975 ton/cup |
Reverse conversion: Short ton per Cup to Grain per Cubic Millimeter
0.0168991598 ton/cup × 59.17453973 = 1.000000003 gr/mm3
0.0168991598 short tons per cup = 1.000000003 grains per cubic millimeter.
grains per cubic millimeter = short tons per cup × 59.1745397282
For a page dedicated to this direction, see Short ton per Cup to Grain per Cubic Millimeter.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Understanding the Short ton per Cup (ton/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many short tons per cup are in 1 grain per cubic millimeter?
1 grain per cubic millimeter equals 0.0168991598 short tons per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic millimeter to short ton per cup?
Multiply the grain per cubic millimeter value by 0.01689915975. The converter above does this instantly to whatever precision you set.
How do I convert short ton per cup back to grain per cubic millimeter?
Use the reverse factor: 1 short ton per cup equals 59.17453973 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 short ton per cup?
Short ton per Cup (ton/cup) is a unit of density.
Is the grain per cubic millimeter to short ton per cup conversion exact?
Yes. Both grain per cubic millimeter and short ton per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.01689915975 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.