Mass per volume density.
Centigrams per Teaspoon to Grains per Cup Converter — cg/tsp to gr/cup
Convert Centigram per Teaspoon (cg/tsp) to Grain per Cup (gr/cup) using the exact conversion factor (1 centigram per teaspoon = 7.407532009 grain per cup). See the formula, worked examples, and conversion table.
Centigrams per Teaspoon 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 2.028841362 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Centigrams per Teaspoon to Grains per Cup
Centigram per Teaspoon 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 = centigrams per teaspoon × 7.40753200941
This factor comes from each unit's defined relationship to the category's base unit: 1 centigram per teaspoon equals 2.02884136211 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct centigram per teaspoon-to-grain per cup factor of 7.40753200941.
Simple example
1 cg/tsp × 7.407532009 = 7.407532009 gr/cup
1 centigram per teaspoon = 7.407532009 grains per cup.
Real-world example
1,000 cg/tsp × 7.407532009 = 7,407.532009 gr/cup
1,000 centigrams per teaspoon = 7,407.532009 grains per cup.
Conversion table
| Centigram per Teaspoon (cg/tsp) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 cg/tsp | 0.7407532009 gr/cup |
| 1 cg/tsp | 7.407532009 gr/cup |
| 10 cg/tsp | 74.07532009 gr/cup |
| 100 cg/tsp | 740.7532009 gr/cup |
| 1,000 cg/tsp | 7,407.532009 gr/cup |
| 10,000 cg/tsp | 74,075.32009 gr/cup |
Reverse conversion: Grain per Cup to Centigram per Teaspoon
7.407532009 gr/cup × 0.1349977292 = 0.9999999999 cg/tsp
7.407532009 grains per cup = 0.9999999999 centigrams per teaspoon.
centigrams per teaspoon = grains per cup × 0.134997729167
For a page dedicated to this direction, see Grain per Cup to Centigram per Teaspoon.
Understanding the Centigram per Teaspoon (cg/tsp)
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 centigram per teaspoon?
1 centigram per teaspoon equals 7.407532009 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert centigram per teaspoon to grain per cup?
Multiply the centigram per teaspoon value by 7.407532009. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to centigram per teaspoon?
Use the reverse factor: 1 grain per cup equals 0.1349977292 centigrams per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a centigram per teaspoon?
Centigram per Teaspoon (cg/tsp) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the centigram per teaspoon to grain per cup conversion exact?
Yes. Both centigram per teaspoon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 7.407532009 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.