Formula
Kilograms per cubic meter = Grams per cubic centimeter × 1000Direct answer
Multiply the entered grams per cubic centimeter value by 1000 to express it in kilograms per cubic meter (kg/m³). This converts gram per cubic centimeter (g/cm³) to kilogram per cubic meter (kg/m³) within the documented density family.
Variables and formula
- Grams per cubic centimeter (g/cm³): the source value measured in gram per cubic centimeter.
- Kilograms per cubic meter (kg/m³): the same quantity expressed in kilogram per cubic meter.
- Conversion factor: 1000 kilograms per cubic meter per gram per cubic centimeter.
Kilograms per cubic meter = Grams per cubic centimeter × 1000
The generator emits numeric factors with at most 15 significant digits. Calculator results keep up to 10 significant digits for display; this formatting does not increase the precision of the measurement.
Unit definitions and named variants
Source unit: gram per cubic centimeter (g/cm³). Because 1 g = 10^-3 kg and 1 cm³ = 10^-6 m³, 1 g/cm³ = 1000 kg/m³ exactly. Named variant used: Mass density; cubic centimetre denominator. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01; National Institute of Standards and Technology: NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically.
Target unit: kilogram per cubic meter (kg/m³). Kilogram per cubic metre is the coherent SI unit of mass density. Named variant used: Mass density. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01; National Institute of Standards and Technology: NIST Guide to the SI, Chapter 8: Comments on Some Quantities and Their Units.
The g/cm³-to-kg/m³ direction remains inside the density quantity; it changes the unit label and numerical scale, not the kind of quantity being measured.
Relationship and precision
The named unit relationships are defined or exact, so the conversion is exact before display rounding and source-measurement uncertainty.
- g/cm³ relationship: The factor follows exactly from SI decimal prefixes.
- kg/m³ relationship: The base factor is exactly 1 by the family base-unit choice.
To audit the factor through the family base unit, divide the raw dataset factors 1000 by 1. The generator emits that quotient once at 15 significant digits as the canonical direct factor 1000; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 grams per cubic centimeter, 10 × 1000 = 10000 kilograms per cubic meter. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one gram per cubic centimeter contains 1000 kilograms per cubic meter, the target number is larger than the source number for every positive input. Zero maps to zero, while negative inputs are rejected because this family models non-negative magnitudes.
| Source amount | Calculation | Target amount |
|---|---|---|
| 1 g/cm³ | 1 × 1000 |
1000 kg/m³ |
| 10 g/cm³ | 10 × 1000 |
10000 kg/m³ |
| 100 g/cm³ | 100 × 1000 |
100000 kg/m³ |
| 1000 g/cm³ | 1000 × 1000 |
1000000 kg/m³ |
Interpretation
Read the result as kilograms per cubic meter, not grams per cubic centimeter. A value entered as g/cm³ leaves the calculator labelled kg/m³; this directional distinction matters even when the two units describe the same density quantity.
Assumptions and limitations
- Only non-negative mass-density magnitudes are accepted by this family.
- Density can vary with temperature, pressure, composition, and measurement method; this converter performs unit scaling only.
- A conversion does not add significant figures to the source measurement.
Common mistakes
- g/cc is an informal alias for g/cm³.
- The cubic exponent applies to the metre in the denominator.
Continue within the Density family
See the Density conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Kilograms per cubic meter to Grams per cubic centimeter
- Compare another density route: Grams per cubic centimeter to Kilograms per liter
- Compare another density route: Grams per cubic centimeter to Pounds per cubic foot
- Compare another density route: Grams per cubic centimeter to Pounds per US gallon
- Compare another density route: Kilograms per cubic meter to Kilograms per liter
Assumptions
- The entered value uses grams per cubic centimeter exactly as labelled.
- Only non-negative mass-density magnitudes are accepted by this family.
- Rounding and measurement uncertainty remain the user's responsibility.
Sources and methodology
CalcMotive publishes the formula and assumptions so you can decide whether the estimate fits your use case. See our methodology standards.
- The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; accessed Aug 7, 2026
- NIST Guide to the SI, Chapter 8: Comments on Some Quantities and Their Units; National Institute of Standards and Technology; accessed Aug 7, 2026
- NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically; National Institute of Standards and Technology; accessed Aug 7, 2026