Mass per volume density.
Grains per Teaspoon to Centigrams per Cup Converter — gr/tsp to cg/cup
Convert Grain per Teaspoon (gr/tsp) to Centigram per Cup (cg/cup) using the exact conversion factor (1 grain per teaspoon = 311.034768 centigram per cup). See the formula, worked examples, and conversion table.
Grains per Teaspoon to Centigrams 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 / 0.04226752838.
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 Centigrams per Cup
Grain per Teaspoon and Centigram 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
centigrams per cup = grains per teaspoon × 311.034768
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 centigram per cup equals 0.0422675283773 base units, so dividing one by the other gives the direct grain per teaspoon-to-centigram per cup factor of 311.034768.
Simple example
1 gr/tsp × 311.034768 = 311.034768 cg/cup
1 grain per teaspoon = 311.034768 centigrams per cup.
Real-world example
1,000 gr/tsp × 311.034768 = 311,034.768 cg/cup
1,000 grains per teaspoon = 311,034.768 centigrams per cup.
Conversion table
| Grain per Teaspoon (gr/tsp) | Centigram per Cup (cg/cup) |
|---|---|
| 0.1 gr/tsp | 31.1034768 cg/cup |
| 1 gr/tsp | 311.034768 cg/cup |
| 10 gr/tsp | 3,110.34768 cg/cup |
| 100 gr/tsp | 31,103.4768 cg/cup |
| 1,000 gr/tsp | 311,034.768 cg/cup |
| 10,000 gr/tsp | 3,110,347.68 cg/cup |
Reverse conversion: Centigram per Cup to Grain per Teaspoon
311.034768 cg/cup × 0.003215074657 = 1 gr/tsp
311.034768 centigrams per cup = 1 grains per teaspoon.
grains per teaspoon = centigrams per cup × 0.00321507465686
For a page dedicated to this direction, see Centigram per Cup to Grain per Teaspoon.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Understanding the Centigram per Cup (cg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many centigrams per cup are in 1 grain per teaspoon?
1 grain per teaspoon equals 311.034768 centigrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per teaspoon to centigram per cup?
Multiply the grain per teaspoon value by 311.034768. The converter above does this instantly to whatever precision you set.
How do I convert centigram per cup back to grain per teaspoon?
Use the reverse factor: 1 centigram per cup equals 0.0032150747 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 centigram per cup?
Centigram per Cup (cg/cup) is a unit of density.
Is the grain per teaspoon to centigram per cup conversion exact?
Yes. Both grain per teaspoon and centigram per cup are defined by fixed standards rather than physical artifacts, so the factor of 311.034768 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.