Mass per volume density.
Decagrams per Imperial gallon to Grains per Cup Converter — dag/imp gal to gr/cup
Convert Decagram per Imperial gallon (dag/imp gal) to Grain per Cup (gr/cup) using the exact conversion factor (1 decagram per imperial gallon = 8.031329005 grain per cup). See the formula, worked examples, and conversion table.
Decagrams per Imperial gallon to Grains per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Mass per volume density.
Result = input x 2.199692483 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Decagrams per Imperial gallon to Grains per Cup
Decagram per Imperial gallon 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 = decagrams per imperial gallon × 8.03132900527
This factor comes from each unit's defined relationship to the category's base unit: 1 decagram per imperial gallon equals 2.19969248299 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct decagram per imperial gallon-to-grain per cup factor of 8.03132900527.
Simple example
1 dag/imp gal × 8.031329005 = 8.031329005 gr/cup
1 decagram per imperial gallon = 8.031329005 grains per cup.
Real-world example
1,000 dag/imp gal × 8.031329005 = 8,031.329005 gr/cup
1,000 decagrams per imperial gallon = 8,031.329005 grains per cup.
Conversion table
| Decagram per Imperial gallon (dag/imp gal) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 dag/imp gal | 0.8031329005 gr/cup |
| 1 dag/imp gal | 8.031329005 gr/cup |
| 10 dag/imp gal | 80.31329005 gr/cup |
| 100 dag/imp gal | 803.1329005 gr/cup |
| 1,000 dag/imp gal | 8,031.329005 gr/cup |
| 10,000 dag/imp gal | 80,313.29005 gr/cup |
Reverse conversion: Grain per Cup to Decagram per Imperial gallon
8.031329005 gr/cup × 0.1245123938 = 1 dag/imp gal
8.031329005 grains per cup = 1 decagrams per imperial gallon.
decagrams per imperial gallon = grains per cup × 0.12451239382
For a page dedicated to this direction, see Grain per Cup to Decagram per Imperial gallon.
Understanding the Decagram per Imperial gallon (dag/imp gal)
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 decagram per imperial gallon?
1 decagram per imperial gallon equals 8.031329005 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert decagram per imperial gallon to grain per cup?
Multiply the decagram per imperial gallon value by 8.031329005. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to decagram per imperial gallon?
Use the reverse factor: 1 grain per cup equals 0.1245123938 decagrams per imperial gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a decagram per imperial gallon?
Decagram per Imperial gallon (dag/imp gal) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the decagram per imperial gallon to grain per cup conversion exact?
Yes. Both decagram per imperial gallon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 8.031329005 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.