Mass per volume density.
Pounds per Cup to Ounce per Cubic inches Converter — lb/cup to oz/in3
Convert Pound per Cup (lb/cup) to Ounce per Cubic inch (oz/in3) using the exact conversion factor (1 pound per cup = 1.108225108 ounce per cubic inch). See the formula, worked examples, and conversion table.
Pounds per Cup to Ounce per Cubic inches converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Mass per volume density.
Result = input x 1917.222837 / 1729.994044.
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 Ounce per Cubic inches
Pound per Cup and Ounce 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
ounce per cubic inches = pounds per cup × 1.10822510823
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 ounce per cubic inch equals 1729.99404439 base units, so dividing one by the other gives the direct pound per cup-to-ounce per cubic inch factor of 1.10822510823.
Simple example
1 lb/cup × 1.108225108 = 1.108225108 oz/in3
1 pound per cup = 1.108225108 ounce per cubic inches.
Real-world example
1,000 lb/cup × 1.108225108 = 1,108.225108 oz/in3
1,000 pounds per cup = 1,108.225108 ounce per cubic inches.
Conversion table
| Pound per Cup (lb/cup) | Ounce per Cubic inch (oz/in3) |
|---|---|
| 0.1 lb/cup | 0.1108225108 oz/in3 |
| 1 lb/cup | 1.108225108 oz/in3 |
| 10 lb/cup | 11.08225108 oz/in3 |
| 100 lb/cup | 110.8225108 oz/in3 |
| 1,000 lb/cup | 1,108.225108 oz/in3 |
| 10,000 lb/cup | 11,082.25108 oz/in3 |
Reverse conversion: Ounce per Cubic inch to Pound per Cup
1.108225108 oz/in3 × 0.90234375 = 0.9999999998 lb/cup
1.108225108 ounce per cubic inches = 0.9999999998 pounds per cup.
pounds per cup = ounce per cubic inches × 0.90234375
For a page dedicated to this direction, see Ounce per Cubic inch to Pound per Cup.
Understanding the Pound per Cup (lb/cup)
Mass per volume density.
Understanding the Ounce per Cubic inch (oz/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many ounce per cubic inches are in 1 pound per cup?
1 pound per cup equals 1.108225108 ounce per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cup to ounce per cubic inch?
Multiply the pound per cup value by 1.108225108. The converter above does this instantly to whatever precision you set.
How do I convert ounce per cubic inch back to pound per cup?
Use the reverse factor: 1 ounce per cubic inch equals 0.90234375 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 ounce per cubic inch?
Ounce per Cubic inch (oz/in3) is a unit of density.
Is the pound per cup to ounce per cubic inch conversion exact?
Yes. Both pound per cup and ounce per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 1.108225108 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.