Cube Density Calculator

kg/m³

Density and buoyancy problems usually become simple once mass and volume are defined consistently. Cube Density Calculator focuses on cube density, with unit-aware relationships that make it easier to spot a misplaced volume or mass conversion.

What this calculator does

The Cube Density Calculator centers on cube density using the fields that are actually present here: Density, Weight/mass, Volume, Side (a), Cube diagonal (d). Rather than treating every box as an independent input, use the equation below to identify the driving quantities and read the remaining fields as derived or supporting values when appropriate.

How to use it

Use mass plus side length for the most direct cube calculation, or provide a compatible pair among mass, volume, and density. Side length takes priority for cube volume when it is present.

How the calculation works

For a cube, volume is V = a³ and density is ρ = m/V. The page can also recover side length from a = ∛V, then reports the face diagonal f = a√2 and space diagonal d = a√3.

Example

A 2 kg cube with side length 0.10 m has V = 0.001 m³, so ρ = 2000 kg/m³. Its face diagonal is about 0.1414 m and its corner-to-corner cube diagonal is about 0.1732 m.

How to interpret the result

For Cube Density Calculator, read cube density in the context of the equation above. Interpret the result only after confirming that mass, volume, and density refer to the same physical sample and unit basis. A result that changes inversely with volume at fixed mass—or directly with mass at fixed volume—is behaving as the density relation predicts.

Limitations and notes

Use mass rather than force-weight in the density equation, even though the field label says “Weight/mass.” If you enter side length, that geometry determines volume; if you instead work from volume, the page can infer side length. Irregular objects, hollow cubes, coatings, and internal voids require an effective volume or a different model.

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