Mass per volume density.
Pounds per Cup to Carat per Cubic inches Converter — lb/cup to ct/in3
Convert Pound per Cup (lb/cup) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 pound per cup = 157.0882667 carat per cubic inch). See the formula, worked examples, and conversion table.
Pounds per Cup to Carat per Cubic inches 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 / 12.20474882.
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 Carat per Cubic inches
Pound per Cup and Carat per Cubic inch 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
carat per cubic inches = pounds per cup × 157.088266667
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 inch equals 12.2047488189 base units, so dividing one by the other gives the direct pound per cup-to-carat per cubic inch factor of 157.088266667.
Simple example
1 lb/cup × 157.0882667 = 157.0882667 ct/in3
1 pound per cup = 157.0882667 carat per cubic inches.
Real-world example
1,000 lb/cup × 157.0882667 = 157,088.2667 ct/in3
1,000 pounds per cup = 157,088.2667 carat per cubic inches.
Conversion table
| Pound per Cup (lb/cup) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 lb/cup | 15.70882667 ct/in3 |
| 1 lb/cup | 157.0882667 ct/in3 |
| 10 lb/cup | 1,570.882667 ct/in3 |
| 100 lb/cup | 15,708.82667 ct/in3 |
| 1,000 lb/cup | 157,088.2667 ct/in3 |
| 10,000 lb/cup | 1,570,882.667 ct/in3 |
Reverse conversion: Carat per Cubic inch to Pound per Cup
157.0882667 ct/in3 × 0.006365847821 = 1 lb/cup
157.0882667 carat per cubic inches = 1 pounds per cup.
pounds per cup = carat per cubic inches × 0.00636584782059
For a page dedicated to this direction, see Carat per Cubic inch to Pound per Cup.
Understanding the Pound per Cup (lb/cup)
Mass per volume density.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carat per cubic inches are in 1 pound per cup?
1 pound per cup equals 157.0882667 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cup to carat per cubic inch?
Multiply the pound per cup value by 157.0882667. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to pound per cup?
Use the reverse factor: 1 carat per cubic inch equals 0.0063658478 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 inch?
Carat per Cubic inch (ct/in3) is a unit of density.
Is the pound per cup to carat per cubic inch conversion exact?
Yes. Both pound per cup and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 157.0882667 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.