Mass per volume density.
Grains per Cup to Grams per Cubic foot Converter — gr/cup to g/ft3
Convert Grain per Cup (gr/cup) to Gram per Cubic foot (g/ft3) using the exact conversion factor (1 grain per cup = 7.755672137 gram per cubic foot). See the formula, worked examples, conversion table, and common uses.
Grains per Cup to Grams 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 0.2738889767 / 0.03531466672.
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 Grams per Cubic foot
Grain per Cup and Gram 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
grams per cubic foot = grains per cup × 7.75567213714
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 gram per cubic foot equals 0.0353146667215 base units, so dividing one by the other gives the direct grain per cup-to-gram per cubic foot factor of 7.75567213714.
Simple example
1 gr/cup × 7.755672137 = 7.755672137 g/ft3
1 grain per cup = 7.755672137 grams per cubic foot.
Real-world example
1,000 gr/cup × 7.755672137 = 7,755.672137 g/ft3
1,000 grains per cup = 7,755.672137 grams per cubic foot.
Conversion table
| Grain per Cup (gr/cup) | Gram per Cubic foot (g/ft3) |
|---|---|
| 0.1 gr/cup | 0.7755672137 g/ft3 |
| 1 gr/cup | 7.755672137 g/ft3 |
| 10 gr/cup | 77.55672137 g/ft3 |
| 100 gr/cup | 775.5672137 g/ft3 |
| 1,000 gr/cup | 7,755.672137 g/ft3 |
| 10,000 gr/cup | 77,556.72137 g/ft3 |
Reverse conversion: Gram per Cubic foot to Grain per Cup
7.755672137 g/ft3 × 0.1289378899 = 1 gr/cup
7.755672137 grams per cubic foot = 1 grains per cup.
grains per cup = grams per cubic foot × 0.128937889885
For a page dedicated to this direction, see Gram per Cubic foot to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Gram per Cubic foot
Gram per Cubic foot (g/ft3) measures density. A gram is a small mass unit and a cubic foot a comparatively large volume, so this combination naturally suits low-density materials rather than typical solids or liquids. It is classified as a mixed metric/US customary density unit.
Uses of the Gram per Cubic foot today
- Can be used to express the density of low-density materials such as insulation foam, packaging material, or gas concentration by volume — for typical solid or liquid materials, kilograms per cubic meter or pounds per cubic foot are more commonly encountered
Gram per Cubic foot — sources
- BIPM SI Brochure — Gram and cubic foot as units combinable to express density, though not a standard industry pairing for general materials.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grams per cubic foot are in 1 grain per cup?
1 grain per cup equals 7.755672137 grams per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to gram per cubic foot?
Multiply the grain per cup value by 7.755672137. The converter above does this instantly to whatever precision you set.
How do I convert gram per cubic foot back to grain per cup?
Use the reverse factor: 1 gram per cubic foot equals 0.1289378899 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 gram per cubic foot?
Gram per Cubic foot (g/ft3) measures density. A gram is a small mass unit and a cubic foot a comparatively large volume, so this combination naturally suits low-density materials rather than typical solids or liquids. It is classified as a mixed metric/US customary density unit.
Is the grain per cup to gram per cubic foot conversion exact?
Yes. Both grain per cup and gram per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 7.755672137 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.