Mass per volume density.
Carats per Cubic Millimeter to Pounds per Cup Converter — ct/mm3 to lb/cup
Convert Carat per Cubic Millimeter (ct/mm3) to Pound per Cup (lb/cup) using the exact conversion factor (1 carat per cubic millimeter = 104.3175557 pound per cup). See the formula, worked examples, and conversion table.
Carats per Cubic Millimeter to Pounds 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 200000 / 1917.222837.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Millimeter to Pounds per Cup
Carat per Cubic Millimeter and Pound 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
pounds per cup = carats per cubic millimeter × 104.31755565
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic millimeter equals 200000 base units, and 1 pound per cup equals 1917.22283707 base units, so dividing one by the other gives the direct carat per cubic millimeter-to-pound per cup factor of 104.31755565.
Simple example
1 ct/mm3 × 104.3175557 = 104.3175557 lb/cup
1 carat per cubic millimeter = 104.3175557 pounds per cup.
Real-world example
1,000 ct/mm3 × 104.3175557 = 104,317.5557 lb/cup
1,000 carats per cubic millimeter = 104,317.5557 pounds per cup.
Conversion table
| Carat per Cubic Millimeter (ct/mm3) | Pound per Cup (lb/cup) |
|---|---|
| 0.1 ct/mm3 | 10.43175557 lb/cup |
| 1 ct/mm3 | 104.3175557 lb/cup |
| 10 ct/mm3 | 1,043.175557 lb/cup |
| 100 ct/mm3 | 10,431.75557 lb/cup |
| 1,000 ct/mm3 | 104,317.5557 lb/cup |
| 10,000 ct/mm3 | 1,043,175.557 lb/cup |
Reverse conversion: Pound per Cup to Carat per Cubic Millimeter
104.3175557 lb/cup × 0.009586114185 = 1 ct/mm3
104.3175557 pounds per cup = 1 carats per cubic millimeter.
carats per cubic millimeter = pounds per cup × 0.00958611418535
For a page dedicated to this direction, see Pound per Cup to Carat per Cubic Millimeter.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Understanding the Pound per Cup (lb/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many pounds per cup are in 1 carat per cubic millimeter?
1 carat per cubic millimeter equals 104.3175557 pounds per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic millimeter to pound per cup?
Multiply the carat per cubic millimeter value by 104.3175557. The converter above does this instantly to whatever precision you set.
How do I convert pound per cup back to carat per cubic millimeter?
Use the reverse factor: 1 pound per cup equals 0.0095861142 carats per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
What is a pound per cup?
Pound per Cup (lb/cup) is a unit of density.
Is the carat per cubic millimeter to pound per cup conversion exact?
Yes. Both carat per cubic millimeter and pound per cup are defined by fixed standards rather than physical artifacts, so the factor of 104.3175557 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.