Mass per volume density.
Decagrams per Pint to Grains per Cup Converter — dag/pt to gr/cup
Convert Decagram per Pint (dag/pt) to Grain per Cup (gr/cup) using the exact conversion factor (1 decagram per pint = 77.16179176 grain per cup). See the formula, worked examples, and conversion table.
Decagrams per Pint 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 21.13376419 / 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 Pint to Grains per Cup
Decagram per Pint 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 pint × 77.1617917647
This factor comes from each unit's defined relationship to the category's base unit: 1 decagram per pint equals 21.1337641887 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct decagram per pint-to-grain per cup factor of 77.1617917647.
Simple example
1 dag/pt × 77.16179176 = 77.16179176 gr/cup
1 decagram per pint = 77.16179176 grains per cup.
Real-world example
1,000 dag/pt × 77.16179176 = 77,161.79176 gr/cup
1,000 decagrams per pint = 77,161.79176 grains per cup.
Conversion table
| Decagram per Pint (dag/pt) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 dag/pt | 7.716179176 gr/cup |
| 1 dag/pt | 77.16179176 gr/cup |
| 10 dag/pt | 771.6179176 gr/cup |
| 100 dag/pt | 7,716.179176 gr/cup |
| 1,000 dag/pt | 77,161.79176 gr/cup |
| 10,000 dag/pt | 771,617.9176 gr/cup |
Reverse conversion: Grain per Cup to Decagram per Pint
77.16179176 gr/cup × 0.012959782 = 0.9999999999 dag/pt
77.16179176 grains per cup = 0.9999999999 decagrams per pint.
decagrams per pint = grains per cup × 0.012959782
For a page dedicated to this direction, see Grain per Cup to Decagram per Pint.
Understanding the Decagram per Pint (dag/pt)
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 pint?
1 decagram per pint equals 77.16179176 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert decagram per pint to grain per cup?
Multiply the decagram per pint value by 77.16179176. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to decagram per pint?
Use the reverse factor: 1 grain per cup equals 0.012959782 decagrams per pint. You can also use the swap control in the converter above to flip the direction instantly.
What is a decagram per pint?
Decagram per Pint (dag/pt) 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 pint to grain per cup conversion exact?
Yes. Both decagram per pint and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 77.16179176 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.