Mass per volume density.
Grains per Cup to Drams per Cubic foot Converter — gr/cup to dr/ft3
Convert Grain per Cup (gr/cup) to Dram per Cubic foot (dr/ft3) using the exact conversion factor (1 grain per cup = 4.377172542 dram per cubic foot). See the formula, worked examples, and conversion table.
Grains per Cup to Drams 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 / 0.06257212255.
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 Drams per Cubic foot
Grain per Cup and Dram 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
drams per cubic foot = grains per cup × 4.37717254174
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 dram per cubic foot equals 0.0625721225545 base units, so dividing one by the other gives the direct grain per cup-to-dram per cubic foot factor of 4.37717254174.
Simple example
1 gr/cup × 4.377172542 = 4.377172542 dr/ft3
1 grain per cup = 4.377172542 drams per cubic foot.
Real-world example
1,000 gr/cup × 4.377172542 = 4,377.172542 dr/ft3
1,000 grains per cup = 4,377.172542 drams per cubic foot.
Conversion table
| Grain per Cup (gr/cup) | Dram per Cubic foot (dr/ft3) |
|---|---|
| 0.1 gr/cup | 0.4377172542 dr/ft3 |
| 1 gr/cup | 4.377172542 dr/ft3 |
| 10 gr/cup | 43.77172542 dr/ft3 |
| 100 gr/cup | 437.7172542 dr/ft3 |
| 1,000 gr/cup | 4,377.172542 dr/ft3 |
| 10,000 gr/cup | 43,771.72542 dr/ft3 |
Reverse conversion: Dram per Cubic foot to Grain per Cup
4.377172542 dr/ft3 × 0.2284579807 = 1 gr/cup
4.377172542 drams per cubic foot = 1 grains per cup.
grains per cup = drams per cubic foot × 0.228457980686
For a page dedicated to this direction, see Dram per Cubic foot to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Dram per Cubic foot (dr/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many drams per cubic foot are in 1 grain per cup?
1 grain per cup equals 4.377172542 drams per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to dram per cubic foot?
Multiply the grain per cup value by 4.377172542. The converter above does this instantly to whatever precision you set.
How do I convert dram per cubic foot back to grain per cup?
Use the reverse factor: 1 dram per cubic foot equals 0.2284579807 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 dram per cubic foot?
Dram per Cubic foot (dr/ft3) is a unit of density.
Is the grain per cup to dram per cubic foot conversion exact?
Yes. Both grain per cup and dram per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 4.377172542 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.