Enter the total weight in grams and the density into the calculator to determine the total volume in meters cubed. Use the material preset to auto-fill density for 25 common substances, or enter a custom density value.
- All Unit Converters
- Mass to Volume Calculator
- Grams to Volume Calculator
- Density to Volume Calculator
- Weight to Volume Calculator
- Specific Gravity to Density Calculator
- Specific Gravity Calculator
Grams to Meters Cubed Formula
The following formula is used to calculate volume in cubic meters from a mass in grams.
V = m / \rho
- Where V is the volume in cubic meters (m³)
- m is the mass in grams (g)
- ρ is the density in grams per cubic meter (g/m³)
Mass and volume are different physical quantities, so this conversion always requires density. The same 1,000 g occupies 0.831 m³ as air at room temperature, 0.001 m³ as water, or 0.0000518 m³ as gold. Density spans over four orders of magnitude across common materials, making it the critical variable in every mass-to-volume calculation.
| Material | Density (kg/m³) | Volume of 1,000 g (m³) | Volume of 1,000 g (L) |
|---|---|---|---|
| Air (20°C) | 1.204 | 0.830565 | 830.57 |
| Gasoline | 740 | 0.001351 | 1.351 |
| Ethanol | 789 | 0.001267 | 1.267 |
| Ice (0°C) | 917 | 0.001091 | 1.091 |
| Water (4°C) | 1,000 | 0.001000 | 1.000 |
| Seawater | 1,025 | 0.000976 | 0.976 |
| Milk | 1,030 | 0.000971 | 0.971 |
| PVC | 1,380 | 0.000725 | 0.725 |
| Concrete | 2,400 | 0.000417 | 0.417 |
| Aluminum | 2,700 | 0.000370 | 0.370 |
| Steel | 7,850 | 0.000127 | 0.127 |
| Copper | 8,960 | 0.000112 | 0.112 |
| Lead | 11,340 | 0.0000882 | 0.0882 |
| Gold | 19,300 | 0.0000518 | 0.0518 |
| Ice is less dense than liquid water, an anomaly among common materials. Gold occupies roughly 16,000 times less volume than the same mass of air. | |||
How to Convert Grams to Cubic Meters
Divide the mass in grams by the density in grams per cubic meter. If density is given in kg/m³ (standard SI units), convert first by multiplying by 1,000, or use the simplified form: V (m³) = m (g) / (ρ (kg/m³) x 1,000).
To find the density of a material, use published reference tables, weigh a known volume of the substance, or consult the material data sheet. Density changes with temperature and pressure, most noticeably for gases and near phase-change points.
Worked Examples
Example 1 (water): 500 g of water at 4°C, density 1,000 kg/m³ (1,000,000 g/m³). V = 500 / 1,000,000 = 0.0005 m³ (0.5 liters).
Example 2 (steel): 500 g of steel, density 7,850 kg/m³ (7,850,000 g/m³). V = 500 / 7,850,000 = 0.0000637 m³ (63.7 mL). The same mass of steel occupies 7.85 times less space than water.
Example 3 (air cargo pricing): Air freight carriers price by volumetric weight at 6,000 cm³/kg (167 kg/m³). Materials denser than 167 kg/m³ ship at actual weight. A 500 g foam insert at 20 kg/m³ density occupies 0.025 m³ and bills as 4.17 kg of freight, not 0.5 kg.
Water and Ice: A Density Anomaly
Most materials contract when frozen, increasing in density. Water is an exception. Liquid water reaches its maximum density of 1,000 kg/m³ at 4°C. Ice at 0°C has a density of 917 kg/m³, making it about 9% less dense than liquid water. As a result, 1,000 g of ice occupies 0.001090 m³ versus 0.001000 m³ for liquid water. This expansion is why water pipes burst when frozen, why ice floats on lakes, and why aquatic life survives under ice cover in winter. The anomaly is caused by the open hexagonal hydrogen-bond lattice structure that forms when water freezes, which takes up more space than the disordered liquid state.
