Mass per volume density.
Grams per Quart to Grains per Cup Converter — g/qt to gr/cup
Convert Gram per Quart (g/qt) to Grain per Cup (gr/cup) using the exact conversion factor (1 gram per quart = 3.858089588 grain per cup). See the formula, worked examples, and conversion table.
Grams per Quart to Grains per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Mass per volume density.
Result = input x 1.056688209 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grams per Quart to Grains per Cup
Gram per Quart 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 = grams per quart × 3.85808958824
This factor comes from each unit's defined relationship to the category's base unit: 1 gram per quart equals 1.05668820943 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct gram per quart-to-grain per cup factor of 3.85808958824.
Simple example
1 g/qt × 3.858089588 = 3.858089588 gr/cup
1 gram per quart = 3.858089588 grains per cup.
Real-world example
1,000 g/qt × 3.858089588 = 3,858.089588 gr/cup
1,000 grams per quart = 3,858.089588 grains per cup.
Conversion table
| Gram per Quart (g/qt) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 g/qt | 0.3858089588 gr/cup |
| 1 g/qt | 3.858089588 gr/cup |
| 10 g/qt | 38.58089588 gr/cup |
| 100 g/qt | 385.8089588 gr/cup |
| 1,000 g/qt | 3,858.089588 gr/cup |
| 10,000 g/qt | 38,580.89588 gr/cup |
Reverse conversion: Grain per Cup to Gram per Quart
3.858089588 gr/cup × 0.25919564 = 0.9999999999 g/qt
3.858089588 grains per cup = 0.9999999999 grams per quart.
grams per quart = grains per cup × 0.25919564
For a page dedicated to this direction, see Grain per Cup to Gram per Quart.
Understanding the Gram per Quart (g/qt)
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 gram per quart?
1 gram per quart equals 3.858089588 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert gram per quart to grain per cup?
Multiply the gram per quart value by 3.858089588. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to gram per quart?
Use the reverse factor: 1 grain per cup equals 0.25919564 grams per quart. You can also use the swap control in the converter above to flip the direction instantly.
What is a gram per quart?
Gram per Quart (g/qt) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the gram per quart to grain per cup conversion exact?
Yes. Both gram per quart and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 3.858089588 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.