Mass per volume density.
Kilogram per Cubic inches to Pounds per Cup Converter — kg/in3 to lb/cup
Convert Kilogram per Cubic inch (kg/in3) to Pound per Cup (lb/cup) using the exact conversion factor (1 kilogram per cubic inch = 31.8292391 pound per cup). See the formula, worked examples, and conversion table.
Kilogram 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 61023.74409 / 1917.222837.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Kilogram per Cubic inches to Pounds per Cup
Kilogram 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 = kilogram per cubic inches × 31.8292391029
This factor comes from each unit's defined relationship to the category's base unit: 1 kilogram per cubic inch equals 61023.7440947 base units, and 1 pound per cup equals 1917.22283707 base units, so dividing one by the other gives the direct kilogram per cubic inch-to-pound per cup factor of 31.8292391029.
Simple example
1 kg/in3 × 31.8292391 = 31.8292391 lb/cup
1 kilogram per cubic inch = 31.8292391 pounds per cup.
Real-world example
1,000 kg/in3 × 31.8292391 = 31,829.2391 lb/cup
1,000 kilogram per cubic inches = 31,829.2391 pounds per cup.
Conversion table
| Kilogram per Cubic inch (kg/in3) | Pound per Cup (lb/cup) |
|---|---|
| 0.1 kg/in3 | 3.18292391 lb/cup |
| 1 kg/in3 | 31.8292391 lb/cup |
| 10 kg/in3 | 318.292391 lb/cup |
| 100 kg/in3 | 3,182.92391 lb/cup |
| 1,000 kg/in3 | 31,829.2391 lb/cup |
| 10,000 kg/in3 | 318,292.391 lb/cup |
Reverse conversion: Pound per Cup to Kilogram per Cubic inch
31.8292391 lb/cup × 0.03141765333 = 0.9999999999 kg/in3
31.8292391 pounds per cup = 0.9999999999 kilogram per cubic inches.
kilogram per cubic inches = pounds per cup × 0.0314176533333
For a page dedicated to this direction, see Pound per Cup to Kilogram per Cubic inch.
Understanding the Kilogram per Cubic inch (kg/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 kilogram per cubic inch?
1 kilogram per cubic inch equals 31.8292391 pounds per cup, using the exact defined conversion factor rather than an estimate.
How do I convert kilogram per cubic inch to pound per cup?
Multiply the kilogram per cubic inch value by 31.8292391. The converter above does this instantly to whatever precision you set.
How do I convert pound per cup back to kilogram per cubic inch?
Use the reverse factor: 1 pound per cup equals 0.0314176533 kilogram per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a kilogram per cubic inch?
Kilogram per Cubic inch (kg/in3) is a unit of density.
What is a pound per cup?
Pound per Cup (lb/cup) is a unit of density.
Is the kilogram per cubic inch to pound per cup conversion exact?
Yes. Both kilogram per cubic inch and pound per cup are defined by fixed standards rather than physical artifacts, so the factor of 31.8292391 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.