Mass per volume density.
Pound per Cubic inches to Imperial hundredweights per Cup Converter — lb/in3 to long cwt/cup
Convert Pound per Cubic inch (lb/in3) to Imperial hundredweight per Cup (long cwt/cup) using the exact conversion factor (1 pound per cubic inch = 0.12890625 imperial hundredweight per cup). See the formula, worked examples, conversion table, and common uses.
Pound per Cubic inches to Imperial hundredweights 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 27679.90471 / 214728.9578.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Pound per Cubic inches to Imperial hundredweights per Cup
Pound per Cubic inch and Imperial hundredweight 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. Pound per Cubic inch is most often used for 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.
Formula
imperial hundredweights per cup = pound per cubic inches × 0.12890625
This factor comes from each unit's defined relationship to the category's base unit: 1 pound per cubic inch equals 27679.9047102 base units, and 1 imperial hundredweight per cup equals 214728.957752 base units, so dividing one by the other gives the direct pound per cubic inch-to-imperial hundredweight per cup factor of 0.12890625.
Simple example
1 lb/in3 × 0.12890625 = 0.12890625 long cwt/cup
1 pound per cubic inch = 0.12890625 imperial hundredweights per cup.
Real-world example
1,000 lb/in3 × 0.12890625 = 128.90625 long cwt/cup
1,000 pound per cubic inches = 128.90625 imperial hundredweights per cup.
Conversion table
| Pound per Cubic inch (lb/in3) | Imperial hundredweight per Cup (long cwt/cup) |
|---|---|
| 0.1 lb/in3 | 0.012890625 long cwt/cup |
| 1 lb/in3 | 0.12890625 long cwt/cup |
| 10 lb/in3 | 1.2890625 long cwt/cup |
| 100 lb/in3 | 12.890625 long cwt/cup |
| 1,000 lb/in3 | 128.90625 long cwt/cup |
| 10,000 lb/in3 | 1,289.0625 long cwt/cup |
Reverse conversion: Imperial hundredweight per Cup to Pound per Cubic inch
0.12890625 long cwt/cup × 7.757575758 = 1 lb/in3
0.12890625 imperial hundredweights per cup = 1 pound per cubic inches.
pound per cubic inches = imperial hundredweights per cup × 7.75757575758
For a page dedicated to this direction, see Imperial hundredweight per Cup to Pound per Cubic inch.
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
Understanding the Imperial hundredweight per Cup (long cwt/cup)
Mass per volume density.
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 imperial hundredweights per cup are in 1 pound per cubic inch?
1 pound per cubic inch equals 0.12890625 imperial hundredweights per cup, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cubic inch to imperial hundredweight per cup?
Multiply the pound per cubic inch value by 0.12890625. The converter above does this instantly to whatever precision you set.
How do I convert imperial hundredweight per cup back to pound per cubic inch?
Use the reverse factor: 1 imperial hundredweight per cup equals 7.757575758 pound per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
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.
What is a imperial hundredweight per cup?
Imperial hundredweight per Cup (long cwt/cup) is a unit of density.
Is the pound per cubic inch to imperial hundredweight per cup conversion exact?
Yes. Both pound per cubic inch and imperial hundredweight per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.12890625 used above is exact to as many digits as you choose to display.
Where is the pound per cubic inch still used today?
United States
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.