Mass per volume density.
Carat per Cubic inches to Pounds per Cup Converter — ct/in3 to lb/cup
Convert Carat per Cubic inch (ct/in3) to Pound per Cup (lb/cup) using the exact conversion factor (1 carat per cubic inch = 0.0063658478 pound per cup). See the formula, worked examples, and conversion table.
Carat per Cubic inches 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 12.20474882 / 1917.222837.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carat per Cubic inches to Pounds per Cup
Carat per Cubic inch 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 = carat per cubic inches × 0.00636584782059
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic inch equals 12.2047488189 base units, and 1 pound per cup equals 1917.22283707 base units, so dividing one by the other gives the direct carat per cubic inch-to-pound per cup factor of 0.00636584782059.
Simple example
1 ct/in3 × 0.006365847821 = 0.0063658478 lb/cup
1 carat per cubic inch = 0.0063658478 pounds per cup.
Real-world example
1,000 ct/in3 × 0.006365847821 = 6.365847821 lb/cup
1,000 carat per cubic inches = 6.365847821 pounds per cup.
Conversion table
| Carat per Cubic inch (ct/in3) | Pound per Cup (lb/cup) |
|---|---|
| 0.1 ct/in3 | 0.0006365848 lb/cup |
| 1 ct/in3 | 0.0063658478 lb/cup |
| 10 ct/in3 | 0.0636584782 lb/cup |
| 100 ct/in3 | 0.6365847821 lb/cup |
| 1,000 ct/in3 | 6.365847821 lb/cup |
| 10,000 ct/in3 | 63.65847821 lb/cup |
Reverse conversion: Pound per Cup to Carat per Cubic inch
0.0063658478 lb/cup × 157.0882667 = 0.9999999968 ct/in3
0.0063658478 pounds per cup = 0.9999999968 carat per cubic inches.
carat per cubic inches = pounds per cup × 157.088266667
For a page dedicated to this direction, see Pound per Cup to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
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 inch?
1 carat per cubic inch equals 0.0063658478 pounds per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to pound per cup?
Multiply the carat per cubic inch value by 0.006365847821. The converter above does this instantly to whatever precision you set.
How do I convert pound per cup back to carat per cubic inch?
Use the reverse factor: 1 pound per cup equals 157.0882667 carat per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) 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 inch to pound per cup conversion exact?
Yes. Both carat per cubic inch and pound per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.006365847821 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.