Mass per volume density.
Carats per Cup to Short tons per Cup Converter — ct/cup to ton/cup
Convert Carat per Cup (ct/cup) to Short ton per Cup (ton/cup) using the exact conversion factor (1 carat per cup = 2.204623e-7 short ton per cup). See the formula, worked examples, and conversion table.
Carats per Cup 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 0.8453505675 / 3.83444567e+6.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Short tons per Cup
Carat per Cup 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 = carats per cup × 2.204623e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 short ton per cup equals 3834445.67414 base units, so dividing one by the other gives the direct carat per cup-to-short ton per cup factor of 2.204623e-7.
Simple example
1 ct/cup × 2.204623e-7 = 2.204623e-7 ton/cup
1 carat per cup = 2.204623e-7 short tons per cup.
Real-world example
1,000 ct/cup × 2.204623e-7 = 0.0002204623 ton/cup
1,000 carats per cup = 0.0002204623 short tons per cup.
Conversion table
| Carat per Cup (ct/cup) | Short ton per Cup (ton/cup) |
|---|---|
| 0.1 ct/cup | 2.204623e-8 ton/cup |
| 1 ct/cup | 2.204623e-7 ton/cup |
| 10 ct/cup | 0.0000022046 ton/cup |
| 100 ct/cup | 0.0000220462 ton/cup |
| 1,000 ct/cup | 0.0002204623 ton/cup |
| 10,000 ct/cup | 0.0022046226 ton/cup |
Reverse conversion: Short ton per Cup to Carat per Cup
2.204623e-7 ton/cup × 4535923.7 = 1.000000172 ct/cup
2.204623e-7 short tons per cup = 1.000000172 carats per cup.
carats per cup = short tons per cup × 4535923.7
For a page dedicated to this direction, see Short ton per Cup to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
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 carat per cup?
1 carat per cup equals 2.204623e-7 short tons per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to short ton per cup?
Multiply the carat per cup value by 2.204623e-7. The converter above does this instantly to whatever precision you set.
How do I convert short ton per cup back to carat per cup?
Use the reverse factor: 1 short ton per cup equals 4,535,923.7 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/cup) 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 carat per cup to short ton per cup conversion exact?
Yes. Both carat per cup and short ton per cup are defined by fixed standards rather than physical artifacts, so the factor of 2.204623e-7 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.