Mass per volume density.
Grams per Cubic Centimeter to Grains per Cup Converter — g/cm3 to gr/cup
Convert Gram per Cubic Centimeter (g/cm3) to Grain per Cup (gr/cup) using the exact conversion factor (1 gram per cubic centimeter = 3,651.114448 grain per cup). See the formula, worked examples, conversion table, and common uses.
Grams per Cubic Centimeter 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 1000 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grams per Cubic Centimeter to Grains per Cup
Gram per Cubic Centimeter 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. Gram per Cubic Centimeter is most often used for material identification in chemistry and geology (mineral density tables).
Formula
grains per cup = grams per cubic centimeter × 3651.11444776
This factor comes from each unit's defined relationship to the category's base unit: 1 gram per cubic centimeter equals 1000 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct gram per cubic centimeter-to-grain per cup factor of 3651.11444776.
Simple example
1 g/cm3 × 3651.114448 = 3,651.114448 gr/cup
1 gram per cubic centimeter = 3,651.114448 grains per cup.
Real-world example
1,000 g/cm3 × 3651.114448 = 3,651,114.448 gr/cup
1,000 grams per cubic centimeter = 3,651,114.448 grains per cup.
Conversion table
| Gram per Cubic Centimeter (g/cm3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 g/cm3 | 365.1114448 gr/cup |
| 1 g/cm3 | 3,651.114448 gr/cup |
| 10 g/cm3 | 36,511.14448 gr/cup |
| 100 g/cm3 | 365,111.4448 gr/cup |
| 1,000 g/cm3 | 3,651,114.448 gr/cup |
| 10,000 g/cm3 | 36,511,144.48 gr/cup |
Reverse conversion: Grain per Cup to Gram per Cubic Centimeter
1 gr/cup × 0.0002738889767 = 0.000273889 g/cm3
1 grain per cup = 0.000273889 grams per cubic centimeter.
grams per cubic centimeter = grains per cup × 0.000273888976724
For a page dedicated to this direction, see Grain per Cup to Gram per Cubic Centimeter.
Understanding the Gram per Cubic Centimeter
Gram per Cubic Centimeter (g/cm3) measures density. Numerically identical to kilograms per liter, since one cubic centimeter equals one milliliter — this is the form most commonly used in chemistry and materials-science textbooks. It is classified as a metric derived density unit.
Where it's used: Standard density unit in chemistry and materials science worldwide
Uses of the Gram per Cubic Centimeter today
- Material identification in chemistry and geology (mineral density tables)
- Materials science and engineering specifications
- Laboratory density measurements
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Gram per Cubic Centimeter — sources
- BIPM SI Brochure — Gram and cubic centimeter as accepted units for expressing density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 gram per cubic centimeter?
1 gram per cubic centimeter equals 3,651.114448 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert gram per cubic centimeter to grain per cup?
Multiply the gram per cubic centimeter value by 3651.114448. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to gram per cubic centimeter?
Use the reverse factor: 1 grain per cup equals 0.000273889 grams per cubic centimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a gram per cubic centimeter?
Gram per Cubic Centimeter (g/cm3) measures density. Numerically identical to kilograms per liter, since one cubic centimeter equals one milliliter — this is the form most commonly used in chemistry and materials-science textbooks. It is classified as a metric derived density unit.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the gram per cubic centimeter to grain per cup conversion exact?
Yes. Both gram per cubic centimeter and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 3651.114448 used above is exact to as many digits as you choose to display.
Where is the gram per cubic centimeter still used today?
Standard density unit in chemistry and materials science worldwide
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.