Mass per volume density.
Grains per Cup to Ounces per Cubic Meter Converter — gr/cup to oz/m3
Convert Grain per Cup (gr/cup) to Ounce per Cubic Meter (oz/m3) using the exact conversion factor (1 grain per cup = 9.661149343 ounce per cubic meter). See the formula, worked examples, and conversion table.
Grains per Cup to 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 / 0.02834952313.
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 Ounces per Cubic Meter
Grain per Cup and 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
ounces per cubic meter = grains per cup × 9.66114934338
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 ounce per cubic meter equals 0.028349523125 base units, so dividing one by the other gives the direct grain per cup-to-ounce per cubic meter factor of 9.66114934338.
Simple example
1 gr/cup × 9.661149343 = 9.661149343 oz/m3
1 grain per cup = 9.661149343 ounces per cubic meter.
Real-world example
1,000 gr/cup × 9.661149343 = 9,661.149343 oz/m3
1,000 grains per cup = 9,661.149343 ounces per cubic meter.
Conversion table
| Grain per Cup (gr/cup) | Ounce per Cubic Meter (oz/m3) |
|---|---|
| 0.1 gr/cup | 0.9661149343 oz/m3 |
| 1 gr/cup | 9.661149343 oz/m3 |
| 10 gr/cup | 96.61149343 oz/m3 |
| 100 gr/cup | 966.1149343 oz/m3 |
| 1,000 gr/cup | 9,661.149343 oz/m3 |
| 10,000 gr/cup | 96,611.49343 oz/m3 |
Reverse conversion: Ounce per Cubic Meter to Grain per Cup
9.661149343 oz/m3 × 0.1035073535 = 1 gr/cup
9.661149343 ounces per cubic meter = 1 grains per cup.
grains per cup = ounces per cubic meter × 0.103507353469
For a page dedicated to this direction, see Ounce per Cubic Meter to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Ounce per Cubic Meter (oz/m3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many ounces per cubic meter are in 1 grain per cup?
1 grain per cup equals 9.661149343 ounces per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to ounce per cubic meter?
Multiply the grain per cup value by 9.661149343. The converter above does this instantly to whatever precision you set.
How do I convert ounce per cubic meter back to grain per cup?
Use the reverse factor: 1 ounce per cubic meter equals 0.1035073535 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 ounce per cubic meter?
Ounce per Cubic Meter (oz/m3) is a unit of density.
Is the grain per cup to ounce per cubic meter conversion exact?
Yes. Both grain per cup and ounce per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 9.661149343 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.