Mass per volume density.
Pounds per Cup to Carats per Cubic Millimeter Converter — lb/cup to ct/mm3
Convert Pound per Cup (lb/cup) to Carat per Cubic Millimeter (ct/mm3) using the exact conversion factor (1 pound per cup = 0.0095861142 carat per cubic millimeter). See the formula, worked examples, and conversion table.
Pounds per Cup to Carats 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 1917.222837 / 200000.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Pounds per Cup to Carats per Cubic Millimeter
Pound per Cup and Carat 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
carats per cubic millimeter = pounds per cup × 0.00958611418535
This factor comes from each unit's defined relationship to the category's base unit: 1 pound per cup equals 1917.22283707 base units, and 1 carat per cubic millimeter equals 200000 base units, so dividing one by the other gives the direct pound per cup-to-carat per cubic millimeter factor of 0.00958611418535.
Simple example
1 lb/cup × 0.009586114185 = 0.0095861142 ct/mm3
1 pound per cup = 0.0095861142 carats per cubic millimeter.
Real-world example
1,000 lb/cup × 0.009586114185 = 9.586114185 ct/mm3
1,000 pounds per cup = 9.586114185 carats per cubic millimeter.
Conversion table
| Pound per Cup (lb/cup) | Carat per Cubic Millimeter (ct/mm3) |
|---|---|
| 0.1 lb/cup | 0.0009586114 ct/mm3 |
| 1 lb/cup | 0.0095861142 ct/mm3 |
| 10 lb/cup | 0.0958611419 ct/mm3 |
| 100 lb/cup | 0.9586114185 ct/mm3 |
| 1,000 lb/cup | 9.586114185 ct/mm3 |
| 10,000 lb/cup | 95.86114185 ct/mm3 |
Reverse conversion: Carat per Cubic Millimeter to Pound per Cup
0.0095861142 ct/mm3 × 104.3175557 = 1.000000002 lb/cup
0.0095861142 carats per cubic millimeter = 1.000000002 pounds per cup.
pounds per cup = carats per cubic millimeter × 104.31755565
For a page dedicated to this direction, see Carat per Cubic Millimeter to Pound per Cup.
Understanding the Pound per Cup (lb/cup)
Mass per volume density.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic millimeter are in 1 pound per cup?
1 pound per cup equals 0.0095861142 carats per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cup to carat per cubic millimeter?
Multiply the pound per cup value by 0.009586114185. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic millimeter back to pound per cup?
Use the reverse factor: 1 carat per cubic millimeter equals 104.3175557 pounds per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a pound per cup?
Pound per Cup (lb/cup) is a unit of density.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
Is the pound per cup to carat per cubic millimeter conversion exact?
Yes. Both pound per cup and carat per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.009586114185 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.