Mass per volume density.
Grams per Cup to Grain per Cubic inches Converter — g/cup to gr/in3
Convert Gram per Cup (g/cup) to Grain per Cubic inch (gr/in3) using the exact conversion factor (1 gram per cup = 1.068907938 grain per cubic inch). See the formula, worked examples, and conversion table.
Grams per Cup to Grain per Cubic inches 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 4.226752838 / 3.954272101.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grams per Cup to Grain per Cubic inches
Gram per Cup and Grain per Cubic inch 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
grain per cubic inches = grams per cup × 1.06890793787
This factor comes from each unit's defined relationship to the category's base unit: 1 gram per cup equals 4.22675283773 base units, and 1 grain per cubic inch equals 3.95427210146 base units, so dividing one by the other gives the direct gram per cup-to-grain per cubic inch factor of 1.06890793787.
Simple example
1 g/cup × 1.068907938 = 1.068907938 gr/in3
1 gram per cup = 1.068907938 grain per cubic inches.
Real-world example
1,000 g/cup × 1.068907938 = 1,068.907938 gr/in3
1,000 grams per cup = 1,068.907938 grain per cubic inches.
Conversion table
| Gram per Cup (g/cup) | Grain per Cubic inch (gr/in3) |
|---|---|
| 0.1 g/cup | 0.1068907938 gr/in3 |
| 1 g/cup | 1.068907938 gr/in3 |
| 10 g/cup | 10.68907938 gr/in3 |
| 100 g/cup | 106.8907938 gr/in3 |
| 1,000 g/cup | 1,068.907938 gr/in3 |
| 10,000 g/cup | 10,689.07938 gr/in3 |
Reverse conversion: Grain per Cubic inch to Gram per Cup
1.068907938 gr/in3 × 0.9355342631 = 1 g/cup
1.068907938 grain per cubic inches = 1 grams per cup.
grams per cup = grain per cubic inches × 0.935534263125
For a page dedicated to this direction, see Grain per Cubic inch to Gram per Cup.
Understanding the Gram per Cup (g/cup)
Mass per volume density.
Understanding the Grain per Cubic inch (gr/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grain per cubic inches are in 1 gram per cup?
1 gram per cup equals 1.068907938 grain per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert gram per cup to grain per cubic inch?
Multiply the gram per cup value by 1.068907938. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic inch back to gram per cup?
Use the reverse factor: 1 grain per cubic inch equals 0.9355342631 grams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a gram per cup?
Gram per Cup (g/cup) is a unit of density.
What is a grain per cubic inch?
Grain per Cubic inch (gr/in3) is a unit of density.
Is the gram per cup to grain per cubic inch conversion exact?
Yes. Both gram per cup and grain per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 1.068907938 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.