Mass per volume density.
Grain per Cubic inches to Grains per Cubic foot Converter — gr/in3 to gr/ft3
Convert Grain per Cubic inch (gr/in3) to Grain per Cubic foot (gr/ft3) using the exact conversion factor (1 grain per cubic inch = 1,728 grain per cubic foot). See the formula, worked examples, and conversion table.
Grain per Cubic inches to Grains per Cubic foot 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 3.954272101 / 0.002288351911.
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 Grains per Cubic foot
Grain per Cubic inch and Grain per Cubic foot 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 cubic foot = grain per cubic inches × 1728
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 grain per cubic foot equals 0.00228835191057 base units, so dividing one by the other gives the direct grain per cubic inch-to-grain per cubic foot factor of 1728.
Simple example
1 gr/in3 × 1728 = 1,728 gr/ft3
1 grain per cubic inch = 1,728 grains per cubic foot.
Real-world example
1,000 gr/in3 × 1728 = 1,728,000 gr/ft3
1,000 grain per cubic inches = 1,728,000 grains per cubic foot.
Conversion table
| Grain per Cubic inch (gr/in3) | Grain per Cubic foot (gr/ft3) |
|---|---|
| 0.1 gr/in3 | 172.8 gr/ft3 |
| 1 gr/in3 | 1,728 gr/ft3 |
| 10 gr/in3 | 17,280 gr/ft3 |
| 100 gr/in3 | 172,800 gr/ft3 |
| 1,000 gr/in3 | 1,728,000 gr/ft3 |
| 10,000 gr/in3 | 17,280,000 gr/ft3 |
Reverse conversion: Grain per Cubic foot to Grain per Cubic inch
1 gr/ft3 × 0.0005787037037 = 0.0005787037 gr/in3
1 grain per cubic foot = 0.0005787037 grain per cubic inches.
grain per cubic inches = grains per cubic foot × 0.000578703703704
For a page dedicated to this direction, see Grain per Cubic foot to Grain per Cubic inch.
Understanding the Grain per Cubic inch (gr/in3)
Mass per volume density.
Understanding the Grain per Cubic foot (gr/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic foot are in 1 grain per cubic inch?
1 grain per cubic inch equals 1,728 grains per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic inch to grain per cubic foot?
Multiply the grain per cubic inch value by 1728. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic foot back to grain per cubic inch?
Use the reverse factor: 1 grain per cubic foot equals 0.0005787037 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 grain per cubic foot?
Grain per Cubic foot (gr/ft3) is a unit of density.
Is the grain per cubic inch to grain per cubic foot conversion exact?
Yes. Both grain per cubic inch and grain per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 1728 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.