Mass per volume density.
Grain per Cubic inches to Kilograms per Cup Converter — gr/in3 to kg/cup
Convert Grain per Cubic inch (gr/in3) to Kilogram per Cup (kg/cup) using the exact conversion factor (1 grain per cubic inch = 0.0009355343 kilogram per cup). See the formula, worked examples, and conversion table.
Grain per Cubic inches to Kilograms 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 3.954272101 / 4226.752838.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grain per Cubic inches to Kilograms per Cup
Grain per Cubic inch and Kilogram 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
kilograms per cup = grain per cubic inches × 0.000935534263125
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic inch equals 3.95427210146 base units, and 1 kilogram per cup equals 4226.75283773 base units, so dividing one by the other gives the direct grain per cubic inch-to-kilogram per cup factor of 0.000935534263125.
Simple example
1 gr/in3 × 0.0009355342631 = 0.0009355343 kg/cup
1 grain per cubic inch = 0.0009355343 kilograms per cup.
Real-world example
1,000 gr/in3 × 0.0009355342631 = 0.9355342631 kg/cup
1,000 grain per cubic inches = 0.9355342631 kilograms per cup.
Conversion table
| Grain per Cubic inch (gr/in3) | Kilogram per Cup (kg/cup) |
|---|---|
| 0.1 gr/in3 | 0.0000935534 kg/cup |
| 1 gr/in3 | 0.0009355343 kg/cup |
| 10 gr/in3 | 0.0093553426 kg/cup |
| 100 gr/in3 | 0.0935534263 kg/cup |
| 1,000 gr/in3 | 0.9355342631 kg/cup |
| 10,000 gr/in3 | 9.355342631 kg/cup |
Reverse conversion: Kilogram per Cup to Grain per Cubic inch
0.0009355343 kg/cup × 1068.907938 = 1.000000039 gr/in3
0.0009355343 kilograms per cup = 1.000000039 grain per cubic inches.
grain per cubic inches = kilograms per cup × 1068.90793787
For a page dedicated to this direction, see Kilogram per Cup to Grain per Cubic inch.
Understanding the Grain per Cubic inch (gr/in3)
Mass per volume density.
Understanding the Kilogram per Cup (kg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many kilograms per cup are in 1 grain per cubic inch?
1 grain per cubic inch equals 0.0009355343 kilograms per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic inch to kilogram per cup?
Multiply the grain per cubic inch value by 0.0009355342631. The converter above does this instantly to whatever precision you set.
How do I convert kilogram per cup back to grain per cubic inch?
Use the reverse factor: 1 kilogram per cup equals 1,068.907938 grain per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic inch?
Grain per Cubic inch (gr/in3) is a unit of density.
What is a kilogram per cup?
Kilogram per Cup (kg/cup) is a unit of density.
Is the grain per cubic inch to kilogram per cup conversion exact?
Yes. Both grain per cubic inch and kilogram per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.0009355342631 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.