Mass per volume density.
Pounds per Cup to Pounds per Cubic Millimeter Converter — lb/cup to lb/mm3
Convert Pound per Cup (lb/cup) to Pound per Cubic Millimeter (lb/mm3) using the exact conversion factor (1 pound per cup = 0.0000042268 pound per cubic millimeter). See the formula, worked examples, and conversion table.
Pounds per Cup to Pounds per Cubic Millimeter 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 / 4.5359237e+8.
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 Pounds per Cubic Millimeter
Pound per Cup and Pound per Cubic Millimeter 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 cubic millimeter = pounds per cup × 0.00000422675283773
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 pound per cubic millimeter equals 453592370 base units, so dividing one by the other gives the direct pound per cup-to-pound per cubic millimeter factor of 0.00000422675283773.
Simple example
1 lb/cup × 0.000004226752838 = 0.0000042268 lb/mm3
1 pound per cup = 0.0000042268 pounds per cubic millimeter.
Real-world example
1,000 lb/cup × 0.000004226752838 = 0.0042267528 lb/mm3
1,000 pounds per cup = 0.0042267528 pounds per cubic millimeter.
Conversion table
| Pound per Cup (lb/cup) | Pound per Cubic Millimeter (lb/mm3) |
|---|---|
| 0.1 lb/cup | 4.226753e-7 lb/mm3 |
| 1 lb/cup | 0.0000042268 lb/mm3 |
| 10 lb/cup | 0.0000422675 lb/mm3 |
| 100 lb/cup | 0.0004226753 lb/mm3 |
| 1,000 lb/cup | 0.0042267528 lb/mm3 |
| 10,000 lb/cup | 0.0422675284 lb/mm3 |
Reverse conversion: Pound per Cubic Millimeter to Pound per Cup
0.0000042268 lb/mm3 × 236588.2365 = 1.000011158 lb/cup
0.0000042268 pounds per cubic millimeter = 1.000011158 pounds per cup.
pounds per cup = pounds per cubic millimeter × 236588.2365
For a page dedicated to this direction, see Pound per Cubic Millimeter to Pound per Cup.
Understanding the Pound per Cup (lb/cup)
Mass per volume density.
Understanding the Pound per Cubic Millimeter (lb/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many pounds per cubic millimeter are in 1 pound per cup?
1 pound per cup equals 0.0000042268 pounds per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cup to pound per cubic millimeter?
Multiply the pound per cup value by 0.000004226752838. The converter above does this instantly to whatever precision you set.
How do I convert pound per cubic millimeter back to pound per cup?
Use the reverse factor: 1 pound per cubic millimeter equals 236,588.2365 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 pound per cubic millimeter?
Pound per Cubic Millimeter (lb/mm3) is a unit of density.
Is the pound per cup to pound per cubic millimeter conversion exact?
Yes. Both pound per cup and pound per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.000004226752838 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.