Mass per volume density.
Carats per Cup to Pound per Cubic inches Converter — ct/cup to lb/in3
Convert Carat per Cup (ct/cup) to Pound per Cubic inch (lb/in3) using the exact conversion factor (1 carat per cup = 0.0000305402 pound per cubic inch). See the formula, worked examples, conversion table, and common uses.
Carats per Cup to Pound 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 0.8453505675 / 27679.90471.
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 Pound per Cubic inches
Carat per Cup and Pound 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
pound per cubic inches = carats per cup × 0.0000305402267962
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 inch equals 27679.9047102 base units, so dividing one by the other gives the direct carat per cup-to-pound per cubic inch factor of 0.0000305402267962.
Simple example
1 ct/cup × 0.0000305402268 = 0.0000305402 lb/in3
1 carat per cup = 0.0000305402 pound per cubic inches.
Real-world example
1,000 ct/cup × 0.0000305402268 = 0.0305402268 lb/in3
1,000 carats per cup = 0.0305402268 pound per cubic inches.
Conversion table
| Carat per Cup (ct/cup) | Pound per Cubic inch (lb/in3) |
|---|---|
| 0.1 ct/cup | 0.000003054 lb/in3 |
| 1 ct/cup | 0.0000305402 lb/in3 |
| 10 ct/cup | 0.0003054023 lb/in3 |
| 100 ct/cup | 0.0030540227 lb/in3 |
| 1,000 ct/cup | 0.0305402268 lb/in3 |
| 10,000 ct/cup | 0.305402268 lb/in3 |
Reverse conversion: Pound per Cubic inch to Carat per Cup
0.0000305402 lb/in3 × 32743.69921 = 0.9999991226 ct/cup
0.0000305402 pound per cubic inches = 0.9999991226 carats per cup.
carats per cup = pound per cubic inches × 32743.6992094
For a page dedicated to this direction, see Pound per Cubic inch to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Pound per Cubic inch
Pound per Cubic inch (lb/in3) measures density. A US customary density unit suited to describing dense materials in a small volume. It is classified as a US customary density unit.
Where it's used: United States
Uses of the Pound per Cubic inch today
- Used in machining and materials engineering, particularly for describing the density of metals, where a smaller volume unit than the cubic foot gives a more convenient figure
Pound per Cubic inch — sources
- US materials-engineering reference tables — Pounds per cubic inch is a commonly tabulated density unit for metals in US machining and materials references.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many pound per cubic inches are in 1 carat per cup?
1 carat per cup equals 0.0000305402 pound per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to pound per cubic inch?
Multiply the carat per cup value by 0.0000305402268. The converter above does this instantly to whatever precision you set.
How do I convert pound per cubic inch back to carat per cup?
Use the reverse factor: 1 pound per cubic inch equals 32,743.69921 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 inch?
Pound per Cubic inch (lb/in3) measures density. A US customary density unit suited to describing dense materials in a small volume. It is classified as a US customary density unit.
Is the carat per cup to pound per cubic inch conversion exact?
Yes. Both carat per cup and pound per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 0.0000305402268 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.