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Cube Density Calculator

Calculate the density of cubic objects from side length and mass, with material identification and unit conversions.

Cube Density Calculator

Cube Physical Properties
Material Density (ρ = m / s³)
2 g/cm³
Cube Volume: 125 cm³
Standard Material Reference:
Water: 1.0 g/cm³
Aluminum: 2.7 g/cm³
Steel: 7.85 g/cm³
Gold: 19.32 g/cm³
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What Is a Cube Density Calculator?

The Cube Density Calculator computes the physical density of any cubic shape directly from its side length (edge) and measured mass. Because a cube has equal length, width, and height, volume is simply the cube of the edge length ($V = s^3$).

How to Use This Calculator

  1. Enter the edge or side length (s) of the cube and select the unit (cm, m, in, ft).
  2. Enter measured mass or weight (g, kg, lbs).
  3. Review the calculated cube volume, density, and standard material comparison.

Cube Volume and Density Formulas

V = s^3 \quad ; \quad \rho = \frac{m}{s^3}

Where s is edge length and m is mass. For example, a 10 cm cube has a volume of 1,000 cm³ (1 liter).

Worked Example

Scenario: A solid metal cube with 5 cm sides weighing 981.25 grams.

Side s = 5 cm.

Volume: 5³ = 125 cm³.

Density: 981.25 g / 125 cm³ = 7.85 g/cm³.

Result: Density is 7.85 g/cm³ (7,850 kg/m³), identifying the material as structural carbon steel.

Tips & Key Notes

  • Measuring side length accurately with digital vernier calipers is critical because measurement errors are cubed in the volume equation.
  • If the cube is hollow, the calculated value is "bulk" or apparent density rather than true material density.
  • Use the material table to quickly verify whether samples match aluminum (2.7 g/cm³), titanium (4.5 g/cm³), steel (7.85 g/cm³), or gold (19.3 g/cm³).

Frequently Asked Questions

How do you find the mass of a cube if density is known?

Multiply the cube volume (s³) by its known density: m = s³ × ρ.

What is the density of an aluminum cube?

Pure aluminum has a density of approximately 2.70 g/cm³ (2,700 kg/m³ or 168.6 lbs/ft³).

What is the density of a 1-meter cube of water?

A cube measuring 1 meter on each side has a volume of 1 cubic meter (1,000 liters) and holds exactly 1,000 kg (1 metric ton or ~2,204.6 lbs) of pure water at 4°C.

Can I use this calculator for rectangular prisms (boxes)?

For non-cube boxes where length, width, and height differ, use our general Density Calculator or Freight Density Calculator.

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