Mass per volume density.
Carats per Cup to Pounds per Cubic Millimeter Converter — ct/cup to lb/mm3
Convert Carat per Cup (ct/cup) to Pound per Cubic Millimeter (lb/mm3) using the exact conversion factor (1 carat per cup = 1.863679e-9 pound per cubic millimeter). See the formula, worked examples, and conversion table.
Carats per Cup to Pounds 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 0.8453505675 / 4.5359237e+8.
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 Pounds per Cubic Millimeter
Carat per Cup and Pound 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
pounds per cubic millimeter = carats per cup × 1.863679e-9
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 pound per cubic millimeter equals 453592370 base units, so dividing one by the other gives the direct carat per cup-to-pound per cubic millimeter factor of 1.863679e-9.
Simple example
1 ct/cup × 1.863679e-9 = 1.863679e-9 lb/mm3
1 carat per cup = 1.863679e-9 pounds per cubic millimeter.
Real-world example
1,000 ct/cup × 1.863679e-9 = 0.0000018637 lb/mm3
1,000 carats per cup = 0.0000018637 pounds per cubic millimeter.
Conversion table
| Carat per Cup (ct/cup) | Pound per Cubic Millimeter (lb/mm3) |
|---|---|
| 0.1 ct/cup | 1.863679e-10 lb/mm3 |
| 1 ct/cup | 1.863679e-9 lb/mm3 |
| 10 ct/cup | 1.863679e-8 lb/mm3 |
| 100 ct/cup | 1.863679e-7 lb/mm3 |
| 1,000 ct/cup | 0.0000018637 lb/mm3 |
| 10,000 ct/cup | 0.0000186368 lb/mm3 |
Reverse conversion: Pound per Cubic Millimeter to Carat per Cup
1.863679e-9 lb/mm3 × 536573094.5 = 1.000000008 ct/cup
1.863679e-9 pounds per cubic millimeter = 1.000000008 carats per cup.
carats per cup = pounds per cubic millimeter × 536573094.541
For a page dedicated to this direction, see Pound per Cubic Millimeter to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Pound per Cubic Millimeter (lb/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many pounds per cubic millimeter are in 1 carat per cup?
1 carat per cup equals 1.863679e-9 pounds per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to pound per cubic millimeter?
Multiply the carat per cup value by 1.863679e-9. The converter above does this instantly to whatever precision you set.
How do I convert pound per cubic millimeter back to carat per cup?
Use the reverse factor: 1 pound per cubic millimeter equals 536,573,094.5 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 pound per cubic millimeter?
Pound per Cubic Millimeter (lb/mm3) is a unit of density.
Is the carat per cup to pound per cubic millimeter conversion exact?
Yes. Both carat per cup and pound per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 1.863679e-9 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.