Volume Calculator (Mass & Density)
Calculate the space occupied by an object based on its mass and density.
Kilograms (kg)
Grams (g)
Pounds (lb)
Ounces (oz)
kg/m³ (Standard)
g/cm³ (Water ≈ 1)
lb/ft³
Calculation Results
How to Calculate Volume Using Mass and Density
Calculating volume is a fundamental skill in physics and chemistry. If you know the mass of an object and its density, you can determine exactly how much space (volume) it occupies. This relationship is defined by the basic density formula.
The Volume Formula
The standard formula to find volume (V) when you have mass (m) and density (ρ) is:
Volume (V) = Mass (m) / Density (ρ)
Step-by-Step Calculation Guide
- Identify the Mass: Weigh the object to find its mass. Ensure you know the unit (grams, kilograms, etc.).
- Identify the Density: Determine the density of the material. Density is often found in reference tables or provided by the manufacturer.
- Check Units: Ensure your units are compatible. For example, if mass is in grams, density should be in g/cm³ or g/mL.
- Perform the Division: Divide the mass by the density to get the volume.
Practical Example
Suppose you have a block of pure gold. You know the following:
- Mass: 1,000 grams (1 kg)
- Density of Gold: 19.32 g/cm³
Using the formula: 1,000 / 19.32 = 51.76 cm³. This means 1 kilogram of gold takes up roughly 51.76 cubic centimeters of space.
Common Density Reference Table
| Substance | Density (kg/m³) |
|---|---|
| Water (at 4°C) | 1,000 kg/m³ |
| Aluminum | 2,700 kg/m³ |
| Steel | 7,850 kg/m³ |
| Concrete | 2,400 kg/m³ |