Mass per volume density.
Drams per Cubic foot to Grains per Cup Converter — dr/ft3 to gr/cup
Convert Dram per Cubic foot (dr/ft3) to Grain per Cup (gr/cup) using the exact conversion factor (1 dram per cubic foot = 0.2284579807 grain per cup). See the formula, worked examples, and conversion table.
Drams per Cubic foot to Grains per Cup 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 0.06257212255 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Drams per Cubic foot to Grains per Cup
Dram per Cubic foot and Grain 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
grains per cup = drams per cubic foot × 0.228457980686
This factor comes from each unit's defined relationship to the category's base unit: 1 dram per cubic foot equals 0.0625721225545 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct dram per cubic foot-to-grain per cup factor of 0.228457980686.
Simple example
1 dr/ft3 × 0.2284579807 = 0.2284579807 gr/cup
1 dram per cubic foot = 0.2284579807 grains per cup.
Real-world example
1,000 dr/ft3 × 0.2284579807 = 228.4579807 gr/cup
1,000 drams per cubic foot = 228.4579807 grains per cup.
Conversion table
| Dram per Cubic foot (dr/ft3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 dr/ft3 | 0.0228457981 gr/cup |
| 1 dr/ft3 | 0.2284579807 gr/cup |
| 10 dr/ft3 | 2.284579807 gr/cup |
| 100 dr/ft3 | 22.84579807 gr/cup |
| 1,000 dr/ft3 | 228.4579807 gr/cup |
| 10,000 dr/ft3 | 2,284.579807 gr/cup |
Reverse conversion: Grain per Cup to Dram per Cubic foot
0.2284579807 gr/cup × 4.377172542 = 1 dr/ft3
0.2284579807 grains per cup = 1 drams per cubic foot.
drams per cubic foot = grains per cup × 4.37717254174
For a page dedicated to this direction, see Grain per Cup to Dram per Cubic foot.
Understanding the Dram per Cubic foot (dr/ft3)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 dram per cubic foot?
1 dram per cubic foot equals 0.2284579807 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cubic foot to grain per cup?
Multiply the dram per cubic foot value by 0.2284579807. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to dram per cubic foot?
Use the reverse factor: 1 grain per cup equals 4.377172542 drams per cubic foot. You can also use the swap control in the converter above to flip the direction instantly.
What is a dram per cubic foot?
Dram per Cubic foot (dr/ft3) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the dram per cubic foot to grain per cup conversion exact?
Yes. Both dram per cubic foot and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.2284579807 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.