Mass per volume density.
Grains per Cup to Troy ounces per Gallon Converter — gr/cup to oz t/gal
Convert Grain per Cup (gr/cup) to Troy ounce per Gallon (oz t/gal) using the exact conversion factor (1 grain per cup = 0.0333333333 troy ounce per gallon). See the formula, worked examples, and conversion table.
Grains per Cup to Troy ounces per Gallon 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 0.2738889767 / 8.216669302.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Troy ounces per Gallon
Grain per Cup and Troy ounce per Gallon 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 gallon = grains per cup × 0.0333333333333
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 troy ounce per gallon equals 8.21666930173 base units, so dividing one by the other gives the direct grain per cup-to-troy ounce per gallon factor of 0.0333333333333.
Simple example
1 gr/cup × 0.03333333333 = 0.0333333333 oz t/gal
1 grain per cup = 0.0333333333 troy ounces per gallon.
Real-world example
1,000 gr/cup × 0.03333333333 = 33.33333333 oz t/gal
1,000 grains per cup = 33.33333333 troy ounces per gallon.
Conversion table
| Grain per Cup (gr/cup) | Troy ounce per Gallon (oz t/gal) |
|---|---|
| 0.1 gr/cup | 0.0033333333 oz t/gal |
| 1 gr/cup | 0.0333333333 oz t/gal |
| 10 gr/cup | 0.3333333333 oz t/gal |
| 100 gr/cup | 3.333333333 oz t/gal |
| 1,000 gr/cup | 33.33333333 oz t/gal |
| 10,000 gr/cup | 333.3333333 oz t/gal |
Reverse conversion: Troy ounce per Gallon to Grain per Cup
0.0333333333 oz t/gal × 30 = 0.999999999 gr/cup
0.0333333333 troy ounces per gallon = 0.999999999 grains per cup.
grains per cup = troy ounces per gallon × 30
For a page dedicated to this direction, see Troy ounce per Gallon to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Troy ounce per Gallon (oz t/gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many troy ounces per gallon are in 1 grain per cup?
1 grain per cup equals 0.0333333333 troy ounces per gallon, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to troy ounce per gallon?
Multiply the grain per cup value by 0.03333333333. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per gallon back to grain per cup?
Use the reverse factor: 1 troy ounce per gallon equals 30 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a troy ounce per gallon?
Troy ounce per Gallon (oz t/gal) is a unit of density.
Is the grain per cup to troy ounce per gallon conversion exact?
Yes. Both grain per cup and troy ounce per gallon are defined by fixed standards rather than physical artifacts, so the factor of 0.03333333333 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.