Mass per volume density.
Drams per Cup to Grains per Fluid ounce Converter — dr/cup to gr/fl oz
Convert Dram per Cup (dr/cup) to Grain per Fluid ounce (gr/fl oz) using the exact conversion factor (1 dram per cup = 3.41796875 grain per fluid ounce). See the formula, worked examples, and conversion table.
Drams per Cup to Grains per Fluid ounce 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 7.489151707 / 2.191111814.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Drams per Cup to Grains per Fluid ounce
Dram per Cup and Grain per Fluid ounce 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 fluid ounce = drams per cup × 3.41796875
This factor comes from each unit's defined relationship to the category's base unit: 1 dram per cup equals 7.48915170731 base units, and 1 grain per fluid ounce equals 2.19111181379 base units, so dividing one by the other gives the direct dram per cup-to-grain per fluid ounce factor of 3.41796875.
Simple example
1 dr/cup × 3.41796875 = 3.41796875 gr/fl oz
1 dram per cup = 3.41796875 grains per fluid ounce.
Real-world example
1,000 dr/cup × 3.41796875 = 3,417.96875 gr/fl oz
1,000 drams per cup = 3,417.96875 grains per fluid ounce.
Conversion table
| Dram per Cup (dr/cup) | Grain per Fluid ounce (gr/fl oz) |
|---|---|
| 0.1 dr/cup | 0.341796875 gr/fl oz |
| 1 dr/cup | 3.41796875 gr/fl oz |
| 10 dr/cup | 34.1796875 gr/fl oz |
| 100 dr/cup | 341.796875 gr/fl oz |
| 1,000 dr/cup | 3,417.96875 gr/fl oz |
| 10,000 dr/cup | 34,179.6875 gr/fl oz |
Reverse conversion: Grain per Fluid ounce to Dram per Cup
3.41796875 gr/fl oz × 0.2925714286 = 1 dr/cup
3.41796875 grains per fluid ounce = 1 drams per cup.
drams per cup = grains per fluid ounce × 0.292571428571
For a page dedicated to this direction, see Grain per Fluid ounce to Dram per Cup.
Understanding the Dram per Cup (dr/cup)
Mass per volume density.
Understanding the Grain per Fluid ounce (gr/fl oz)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per fluid ounce are in 1 dram per cup?
1 dram per cup equals 3.41796875 grains per fluid ounce, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cup to grain per fluid ounce?
Multiply the dram per cup value by 3.41796875. The converter above does this instantly to whatever precision you set.
How do I convert grain per fluid ounce back to dram per cup?
Use the reverse factor: 1 grain per fluid ounce equals 0.2925714286 drams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a dram per cup?
Dram per Cup (dr/cup) is a unit of density.
What is a grain per fluid ounce?
Grain per Fluid ounce (gr/fl oz) is a unit of density.
Is the dram per cup to grain per fluid ounce conversion exact?
Yes. Both dram per cup and grain per fluid ounce are defined by fixed standards rather than physical artifacts, so the factor of 3.41796875 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.