Mass per volume density.
Troy ounces per Cubic foot to Grains per Cup Converter — oz t/ft3 to gr/cup
Convert Troy ounce per Cubic foot (oz t/ft3) to Grain per Cup (gr/cup) using the exact conversion factor (1 troy ounce per cubic foot = 4.010416667 grain per cup). See the formula, worked examples, and conversion table.
Troy ounces per Cubic foot to Grains 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 1.098408917 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Troy ounces per Cubic foot to Grains per Cup
Troy ounce per Cubic foot and Grain 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
grains per cup = troy ounces per cubic foot × 4.01041666667
This factor comes from each unit's defined relationship to the category's base unit: 1 troy ounce per cubic foot equals 1.09840891707 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct troy ounce per cubic foot-to-grain per cup factor of 4.01041666667.
Simple example
1 oz t/ft3 × 4.010416667 = 4.010416667 gr/cup
1 troy ounce per cubic foot = 4.010416667 grains per cup.
Real-world example
1,000 oz t/ft3 × 4.010416667 = 4,010.416667 gr/cup
1,000 troy ounces per cubic foot = 4,010.416667 grains per cup.
Conversion table
| Troy ounce per Cubic foot (oz t/ft3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 oz t/ft3 | 0.4010416667 gr/cup |
| 1 oz t/ft3 | 4.010416667 gr/cup |
| 10 oz t/ft3 | 40.10416667 gr/cup |
| 100 oz t/ft3 | 401.0416667 gr/cup |
| 1,000 oz t/ft3 | 4,010.416667 gr/cup |
| 10,000 oz t/ft3 | 40,104.16667 gr/cup |
Reverse conversion: Grain per Cup to Troy ounce per Cubic foot
4.010416667 gr/cup × 0.2493506494 = 1 oz t/ft3
4.010416667 grains per cup = 1 troy ounces per cubic foot.
troy ounces per cubic foot = grains per cup × 0.249350649351
For a page dedicated to this direction, see Grain per Cup to Troy ounce per Cubic foot.
Understanding the Troy ounce per Cubic foot (oz t/ft3)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 troy ounce per cubic foot?
1 troy ounce per cubic foot equals 4.010416667 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert troy ounce per cubic foot to grain per cup?
Multiply the troy ounce per cubic foot value by 4.010416667. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to troy ounce per cubic foot?
Use the reverse factor: 1 grain per cup equals 0.2493506494 troy ounces per cubic foot. You can also use the swap control in the converter above to flip the direction instantly.
What is a troy ounce per cubic foot?
Troy ounce per Cubic foot (oz t/ft3) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the troy ounce per cubic foot to grain per cup conversion exact?
Yes. Both troy ounce per cubic foot and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 4.010416667 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.