Mass per volume density.
Ounce per Cubic inches to Troy ounces per Cup Converter — oz/in3 to oz t/cup
Convert Ounce per Cubic inch (oz/in3) to Troy ounce per Cup (oz t/cup) using the exact conversion factor (1 ounce per cubic inch = 13.15917969 troy ounce per cup). See the formula, worked examples, and conversion table.
Ounce 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 1729.994044 / 131.4667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Ounce per Cubic inches to Troy ounces per Cup
Ounce 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. Both are mass per volume density units.
Formula
troy ounces per cup = ounce per cubic inches × 13.1591796875
This factor comes from each unit's defined relationship to the category's base unit: 1 ounce per cubic inch equals 1729.99404439 base units, and 1 troy ounce per cup equals 131.466708828 base units, so dividing one by the other gives the direct ounce per cubic inch-to-troy ounce per cup factor of 13.1591796875.
Simple example
1 oz/in3 × 13.15917969 = 13.15917969 oz t/cup
1 ounce per cubic inch = 13.15917969 troy ounces per cup.
Real-world example
1,000 oz/in3 × 13.15917969 = 13,159.17969 oz t/cup
1,000 ounce per cubic inches = 13,159.17969 troy ounces per cup.
Conversion table
| Ounce per Cubic inch (oz/in3) | Troy ounce per Cup (oz t/cup) |
|---|---|
| 0.1 oz/in3 | 1.315917969 oz t/cup |
| 1 oz/in3 | 13.15917969 oz t/cup |
| 10 oz/in3 | 131.5917969 oz t/cup |
| 100 oz/in3 | 1,315.917969 oz t/cup |
| 1,000 oz/in3 | 13,159.17969 oz t/cup |
| 10,000 oz/in3 | 131,591.7969 oz t/cup |
Reverse conversion: Troy ounce per Cup to Ounce per Cubic inch
13.15917969 oz t/cup × 0.07599257885 = 1 oz/in3
13.15917969 troy ounces per cup = 1 ounce per cubic inches.
ounce per cubic inches = troy ounces per cup × 0.0759925788497
For a page dedicated to this direction, see Troy ounce per Cup to Ounce per Cubic inch.
Understanding the Ounce per Cubic inch (oz/in3)
Mass per volume density.
Understanding the Troy ounce per Cup (oz t/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many troy ounces per cup are in 1 ounce per cubic inch?
1 ounce per cubic inch equals 13.15917969 troy ounces per cup, using the exact defined conversion factor rather than an estimate.
How do I convert ounce per cubic inch to troy ounce per cup?
Multiply the ounce per cubic inch value by 13.15917969. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cup back to ounce per cubic inch?
Use the reverse factor: 1 troy ounce per cup equals 0.0759925789 ounce per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a ounce per cubic inch?
Ounce per Cubic inch (oz/in3) is a unit of density.
What is a troy ounce per cup?
Troy ounce per Cup (oz t/cup) is a unit of density.
Is the ounce per cubic inch to troy ounce per cup conversion exact?
Yes. Both ounce per cubic inch and troy ounce per cup are defined by fixed standards rather than physical artifacts, so the factor of 13.15917969 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.