Mass per volume density.
Pound per Cubic inches to Troy ounces per Cup Converter — lb/in3 to oz t/cup
Convert Pound per Cubic inch (lb/in3) to Troy ounce per Cup (oz t/cup) using the exact conversion factor (1 pound per cubic inch = 210.546875 troy ounce per cup). See the formula, worked examples, conversion table, and common uses.
Pound per Cubic inches to Troy ounces 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 / 131.4667088.
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 Troy ounces per Cup
Pound per Cubic inch and Troy ounce 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
troy ounces per cup = pound per cubic inches × 210.546875
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 troy ounce per cup equals 131.466708828 base units, so dividing one by the other gives the direct pound per cubic inch-to-troy ounce per cup factor of 210.546875.
Simple example
1 lb/in3 × 210.546875 = 210.546875 oz t/cup
1 pound per cubic inch = 210.546875 troy ounces per cup.
Real-world example
1,000 lb/in3 × 210.546875 = 210,546.875 oz t/cup
1,000 pound per cubic inches = 210,546.875 troy ounces per cup.
Conversion table
| Pound per Cubic inch (lb/in3) | Troy ounce per Cup (oz t/cup) |
|---|---|
| 0.1 lb/in3 | 21.0546875 oz t/cup |
| 1 lb/in3 | 210.546875 oz t/cup |
| 10 lb/in3 | 2,105.46875 oz t/cup |
| 100 lb/in3 | 21,054.6875 oz t/cup |
| 1,000 lb/in3 | 210,546.875 oz t/cup |
| 10,000 lb/in3 | 2,105,468.75 oz t/cup |
Reverse conversion: Troy ounce per Cup to Pound per Cubic inch
210.546875 oz t/cup × 0.004749536178 = 1 lb/in3
210.546875 troy ounces per cup = 1 pound per cubic inches.
pound per cubic inches = troy ounces per cup × 0.00474953617811
For a page dedicated to this direction, see Troy ounce 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 Troy ounce per Cup (oz t/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 troy ounces per cup are in 1 pound per cubic inch?
1 pound per cubic inch equals 210.546875 troy ounces per cup, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cubic inch to troy ounce per cup?
Multiply the pound per cubic inch value by 210.546875. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cup back to pound per cubic inch?
Use the reverse factor: 1 troy ounce per cup equals 0.0047495362 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 troy ounce per cup?
Troy ounce per Cup (oz t/cup) is a unit of density.
Is the pound per cubic inch to troy ounce per cup conversion exact?
Yes. Both pound per cubic inch and troy ounce per cup are defined by fixed standards rather than physical artifacts, so the factor of 210.546875 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.