Mass per volume density.
Carats per Cup to Long tons per Cup Converter — ct/cup to long ton/cup
Convert Carat per Cup (ct/cup) to Long ton per Cup (long ton/cup) using the exact conversion factor (1 carat per cup = 1.968413e-7 long ton per cup). See the formula, worked examples, and conversion table.
Carats per Cup 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 0.8453505675 / 4.29457916e+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 Long tons per Cup
Carat per Cup 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 = carats per cup × 1.968413e-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 long ton per cup equals 4294579.15504 base units, so dividing one by the other gives the direct carat per cup-to-long ton per cup factor of 1.968413e-7.
Simple example
1 ct/cup × 1.968413e-7 = 1.968413e-7 long ton/cup
1 carat per cup = 1.968413e-7 long tons per cup.
Real-world example
1,000 ct/cup × 1.968413e-7 = 0.0001968413 long ton/cup
1,000 carats per cup = 0.0001968413 long tons per cup.
Conversion table
| Carat per Cup (ct/cup) | Long ton per Cup (long ton/cup) |
|---|---|
| 0.1 ct/cup | 1.968413e-8 long ton/cup |
| 1 ct/cup | 1.968413e-7 long ton/cup |
| 10 ct/cup | 0.0000019684 long ton/cup |
| 100 ct/cup | 0.0000196841 long ton/cup |
| 1,000 ct/cup | 0.0001968413 long ton/cup |
| 10,000 ct/cup | 0.0019684131 long ton/cup |
Reverse conversion: Long ton per Cup to Carat per Cup
1.968413e-7 long ton/cup × 5080234.544 = 0.9999999719 ct/cup
1.968413e-7 long tons per cup = 0.9999999719 carats per cup.
carats per cup = long tons per cup × 5080234.544
For a page dedicated to this direction, see Long ton per Cup to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
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 carat per cup?
1 carat per cup equals 1.968413e-7 long tons per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to long ton per cup?
Multiply the carat per cup value by 1.968413e-7. The converter above does this instantly to whatever precision you set.
How do I convert long ton per cup back to carat per cup?
Use the reverse factor: 1 long ton per cup equals 5,080,234.544 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 long ton per cup?
Long ton per Cup (long ton/cup) is a unit of density.
Is the carat per cup to long ton per cup conversion exact?
Yes. Both carat per cup and long ton per cup are defined by fixed standards rather than physical artifacts, so the factor of 1.968413e-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.