Mass per volume density.
Grains per Cup to Troy ounces per Cubic Meter Converter — gr/cup to oz t/m3
Convert Grain per Cup (gr/cup) to Troy ounce per Cubic Meter (oz t/m3) using the exact conversion factor (1 grain per cup = 8.805735079 troy ounce per cubic meter). See the formula, worked examples, and conversion table.
Grains per Cup to Troy ounces per Cubic Meter 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 / 0.0311034768.
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 Cubic Meter
Grain per Cup and Troy ounce per Cubic Meter 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 cubic meter = grains per cup × 8.8057350786
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 cubic meter equals 0.0311034768 base units, so dividing one by the other gives the direct grain per cup-to-troy ounce per cubic meter factor of 8.8057350786.
Simple example
1 gr/cup × 8.805735079 = 8.805735079 oz t/m3
1 grain per cup = 8.805735079 troy ounces per cubic meter.
Real-world example
1,000 gr/cup × 8.805735079 = 8,805.735079 oz t/m3
1,000 grains per cup = 8,805.735079 troy ounces per cubic meter.
Conversion table
| Grain per Cup (gr/cup) | Troy ounce per Cubic Meter (oz t/m3) |
|---|---|
| 0.1 gr/cup | 0.8805735079 oz t/m3 |
| 1 gr/cup | 8.805735079 oz t/m3 |
| 10 gr/cup | 88.05735079 oz t/m3 |
| 100 gr/cup | 880.5735079 oz t/m3 |
| 1,000 gr/cup | 8,805.735079 oz t/m3 |
| 10,000 gr/cup | 88,057.35079 oz t/m3 |
Reverse conversion: Troy ounce per Cubic Meter to Grain per Cup
8.805735079 oz t/m3 × 0.1135623535 = 1 gr/cup
8.805735079 troy ounces per cubic meter = 1 grains per cup.
grains per cup = troy ounces per cubic meter × 0.11356235352
For a page dedicated to this direction, see Troy ounce per Cubic Meter to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Troy ounce per Cubic Meter (oz t/m3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many troy ounces per cubic meter are in 1 grain per cup?
1 grain per cup equals 8.805735079 troy ounces per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to troy ounce per cubic meter?
Multiply the grain per cup value by 8.805735079. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cubic meter back to grain per cup?
Use the reverse factor: 1 troy ounce per cubic meter equals 0.1135623535 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 cubic meter?
Troy ounce per Cubic Meter (oz t/m3) is a unit of density.
Is the grain per cup to troy ounce per cubic meter conversion exact?
Yes. Both grain per cup and troy ounce per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 8.805735079 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.