Mass per volume density.
Pounds per Cup to Pound per Cubic inches Converter — lb/cup to lb/in3
Convert Pound per Cup (lb/cup) to Pound per Cubic inch (lb/in3) using the exact conversion factor (1 pound per cup = 0.0692640693 pound per cubic inch). See the formula, worked examples, conversion table, and common uses.
Pounds 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 1917.222837 / 27679.90471.
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 Pound per Cubic inches
Pound 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 = pounds per cup × 0.0692640692641
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 inch equals 27679.9047102 base units, so dividing one by the other gives the direct pound per cup-to-pound per cubic inch factor of 0.0692640692641.
Simple example
1 lb/cup × 0.06926406926 = 0.0692640693 lb/in3
1 pound per cup = 0.0692640693 pound per cubic inches.
Real-world example
1,000 lb/cup × 0.06926406926 = 69.26406926 lb/in3
1,000 pounds per cup = 69.26406926 pound per cubic inches.
Conversion table
| Pound per Cup (lb/cup) | Pound per Cubic inch (lb/in3) |
|---|---|
| 0.1 lb/cup | 0.0069264069 lb/in3 |
| 1 lb/cup | 0.0692640693 lb/in3 |
| 10 lb/cup | 0.6926406926 lb/in3 |
| 100 lb/cup | 6.926406926 lb/in3 |
| 1,000 lb/cup | 69.26406926 lb/in3 |
| 10,000 lb/cup | 692.6406926 lb/in3 |
Reverse conversion: Pound per Cubic inch to Pound per Cup
0.0692640693 lb/in3 × 14.4375 = 1.000000001 lb/cup
0.0692640693 pound per cubic inches = 1.000000001 pounds per cup.
pounds per cup = pound per cubic inches × 14.4375
For a page dedicated to this direction, see Pound per Cubic inch to Pound per Cup.
Understanding the Pound per Cup (lb/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 pound per cup?
1 pound per cup equals 0.0692640693 pound per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cup to pound per cubic inch?
Multiply the pound per cup value by 0.06926406926. The converter above does this instantly to whatever precision you set.
How do I convert pound per cubic inch back to pound per cup?
Use the reverse factor: 1 pound per cubic inch equals 14.4375 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 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 pound per cup to pound per cubic inch conversion exact?
Yes. Both pound per cup and pound per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 0.06926406926 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.