Mass per volume density.
Short ton per Cubic inches to Long tons per Cup Converter — ton/in3 to long ton/cup
Convert Short ton per Cubic inch (ton/in3) to Long ton per Cup (long ton/cup) using the exact conversion factor (1 short ton per cubic inch = 12.890625 long ton per cup). See the formula, worked examples, and conversion table.
Short ton per Cubic inches to Long 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 5.53598094e+7 / 4.29457916e+6.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Short ton per Cubic inches to Long tons per Cup
Short ton per Cubic inch and Long 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
long tons per cup = short ton per cubic inches × 12.890625
This factor comes from each unit's defined relationship to the category's base unit: 1 short ton per cubic inch equals 55359809.4204 base units, and 1 long ton per cup equals 4294579.15504 base units, so dividing one by the other gives the direct short ton per cubic inch-to-long ton per cup factor of 12.890625.
Simple example
1 ton/in3 × 12.890625 = 12.890625 long ton/cup
1 short ton per cubic inch = 12.890625 long tons per cup.
Real-world example
1,000 ton/in3 × 12.890625 = 12,890.625 long ton/cup
1,000 short ton per cubic inches = 12,890.625 long tons per cup.
Conversion table
| Short ton per Cubic inch (ton/in3) | Long ton per Cup (long ton/cup) |
|---|---|
| 0.1 ton/in3 | 1.2890625 long ton/cup |
| 1 ton/in3 | 12.890625 long ton/cup |
| 10 ton/in3 | 128.90625 long ton/cup |
| 100 ton/in3 | 1,289.0625 long ton/cup |
| 1,000 ton/in3 | 12,890.625 long ton/cup |
| 10,000 ton/in3 | 128,906.25 long ton/cup |
Reverse conversion: Long ton per Cup to Short ton per Cubic inch
12.890625 long ton/cup × 0.07757575758 = 1 ton/in3
12.890625 long tons per cup = 1 short ton per cubic inches.
short ton per cubic inches = long tons per cup × 0.0775757575758
For a page dedicated to this direction, see Long ton per Cup to Short ton per Cubic inch.
Understanding the Short ton per Cubic inch (ton/in3)
Mass per volume density.
Understanding the Long ton per Cup (long ton/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many long tons per cup are in 1 short ton per cubic inch?
1 short ton per cubic inch equals 12.890625 long tons per cup, using the exact defined conversion factor rather than an estimate.
How do I convert short ton per cubic inch to long ton per cup?
Multiply the short ton per cubic inch value by 12.890625. The converter above does this instantly to whatever precision you set.
How do I convert long ton per cup back to short ton per cubic inch?
Use the reverse factor: 1 long ton per cup equals 0.0775757576 short ton per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a short ton per cubic inch?
Short ton per Cubic inch (ton/in3) is a unit of density.
What is a long ton per cup?
Long ton per Cup (long ton/cup) is a unit of density.
Is the short ton per cubic inch to long ton per cup conversion exact?
Yes. Both short ton per cubic inch and long ton per cup are defined by fixed standards rather than physical artifacts, so the factor of 12.890625 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.