Mass per volume density.
Grains per Teaspoon to Decigrams per Cup Converter — gr/tsp to dg/cup
Convert Grain per Teaspoon (gr/tsp) to Decigram per Cup (dg/cup) using the exact conversion factor (1 grain per teaspoon = 31.1034768 decigram per cup). See the formula, worked examples, and conversion table.
Grains per Teaspoon to Decigrams 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 13.14667088 / 0.4226752838.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Teaspoon to Decigrams per Cup
Grain per Teaspoon and Decigram 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
decigrams per cup = grains per teaspoon × 31.1034768
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per teaspoon equals 13.1466708828 base units, and 1 decigram per cup equals 0.422675283773 base units, so dividing one by the other gives the direct grain per teaspoon-to-decigram per cup factor of 31.1034768.
Simple example
1 gr/tsp × 31.1034768 = 31.1034768 dg/cup
1 grain per teaspoon = 31.1034768 decigrams per cup.
Real-world example
1,000 gr/tsp × 31.1034768 = 31,103.4768 dg/cup
1,000 grains per teaspoon = 31,103.4768 decigrams per cup.
Conversion table
| Grain per Teaspoon (gr/tsp) | Decigram per Cup (dg/cup) |
|---|---|
| 0.1 gr/tsp | 3.11034768 dg/cup |
| 1 gr/tsp | 31.1034768 dg/cup |
| 10 gr/tsp | 311.034768 dg/cup |
| 100 gr/tsp | 3,110.34768 dg/cup |
| 1,000 gr/tsp | 31,103.4768 dg/cup |
| 10,000 gr/tsp | 311,034.768 dg/cup |
Reverse conversion: Decigram per Cup to Grain per Teaspoon
31.1034768 dg/cup × 0.03215074657 = 1 gr/tsp
31.1034768 decigrams per cup = 1 grains per teaspoon.
grains per teaspoon = decigrams per cup × 0.0321507465686
For a page dedicated to this direction, see Decigram per Cup to Grain per Teaspoon.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Understanding the Decigram per Cup (dg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many decigrams per cup are in 1 grain per teaspoon?
1 grain per teaspoon equals 31.1034768 decigrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per teaspoon to decigram per cup?
Multiply the grain per teaspoon value by 31.1034768. The converter above does this instantly to whatever precision you set.
How do I convert decigram per cup back to grain per teaspoon?
Use the reverse factor: 1 decigram per cup equals 0.0321507466 grains per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
What is a decigram per cup?
Decigram per Cup (dg/cup) is a unit of density.
Is the grain per teaspoon to decigram per cup conversion exact?
Yes. Both grain per teaspoon and decigram per cup are defined by fixed standards rather than physical artifacts, so the factor of 31.1034768 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.