Mass per volume density.
Decigrams per Cup to Grains per Teaspoon Converter — dg/cup to gr/tsp
Convert Decigram per Cup (dg/cup) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 decigram per cup = 0.0321507466 grain per teaspoon). See the formula, worked examples, and conversion table.
Decigrams per Cup to Grains per Teaspoon 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 0.4226752838 / 13.14667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Decigrams per Cup to Grains per Teaspoon
Decigram per Cup and Grain per Teaspoon 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 teaspoon = decigrams per cup × 0.0321507465686
This factor comes from each unit's defined relationship to the category's base unit: 1 decigram per cup equals 0.422675283773 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct decigram per cup-to-grain per teaspoon factor of 0.0321507465686.
Simple example
1 dg/cup × 0.03215074657 = 0.0321507466 gr/tsp
1 decigram per cup = 0.0321507466 grains per teaspoon.
Real-world example
1,000 dg/cup × 0.03215074657 = 32.15074657 gr/tsp
1,000 decigrams per cup = 32.15074657 grains per teaspoon.
Conversion table
| Decigram per Cup (dg/cup) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 dg/cup | 0.0032150747 gr/tsp |
| 1 dg/cup | 0.0321507466 gr/tsp |
| 10 dg/cup | 0.3215074657 gr/tsp |
| 100 dg/cup | 3.215074657 gr/tsp |
| 1,000 dg/cup | 32.15074657 gr/tsp |
| 10,000 dg/cup | 321.5074657 gr/tsp |
Reverse conversion: Grain per Teaspoon to Decigram per Cup
0.0321507466 gr/tsp × 31.1034768 = 1.000000001 dg/cup
0.0321507466 grains per teaspoon = 1.000000001 decigrams per cup.
decigrams per cup = grains per teaspoon × 31.1034768
For a page dedicated to this direction, see Grain per Teaspoon to Decigram per Cup.
Understanding the Decigram per Cup (dg/cup)
Mass per volume density.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per teaspoon are in 1 decigram per cup?
1 decigram per cup equals 0.0321507466 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert decigram per cup to grain per teaspoon?
Multiply the decigram per cup value by 0.03215074657. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to decigram per cup?
Use the reverse factor: 1 grain per teaspoon equals 31.1034768 decigrams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a decigram per cup?
Decigram per Cup (dg/cup) is a unit of density.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
Is the decigram per cup to grain per teaspoon conversion exact?
Yes. Both decigram per cup and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 0.03215074657 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.