Why does volume scale by the cube?

Volume is a three-dimensional measurement (length x width x height). When all three are reduced by the scale factor, volume reduces by the factor cubed. At 1:72, the volume factor is 72³ = 373,248.

When is scale volume useful?

It is useful for calculating resin quantities for casting scale containers, working out water effect volumes for scale ponds and rivers in dioramas, or understanding the relative capacity of scale vehicles.

How much resin would fill a 1:72 scale swimming pool?

A real 50m³ pool at 1:72 scale: 50,000,000 cm³ / 373,248 = 134 cm³ = 134 ml of resin. That is less than half a standard resin bottle, which is surprisingly little for what looks like a substantial water feature.

ModelCalcs

Scale Volume Calculator — Cube Law Conversion

Convert real-world volumes to scale volumes and back. Volumes scale by the cube of the scale factor.

Direction

Select the conversion direction

Volume

Total volume

Unit

Select your preferred measurement unit

Scale

Select the model scale

How We Calculate This

Volume scales by the cube of the linear scale factor.

Formulas

Real to Scale: Scale volume = Real volume ÷ Scale³
Scale to Real: Real volume = Scale volume × Scale³

Example: A real fuel tank of 2,000 litres at 1:48 scale:
2,000 ÷ 48³ = 2,000 ÷ 110,592 = 0.018 litres = 18 ml at model scale.

Frequently Asked Questions

Related Calculators

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Scale Ratio Calculator

Find the scale ratio from a real measurement and its model equivalent.

Mixed Scale Calculator

Convert a measurement from one model scale to another without going back to real size.

Last updated: February 2026

All calculations are estimates. Always verify quantities before purchasing materials.