Calculate Scale of a Model

Calculator for the scale and the sizes of a three-dimensional model. Length, width and height change according to the scale. The surface area changes with the scale squared, the volume changes with the scale to the power of three.
Please enter a scale, the original or model sizes and select the units. Each other value will be calculated. Metric and other units are available.

Scale (lengths):	1 :
Scale surface area:	1 :
Scale volume:	1 :

	Original size	Model size
Length:	mmcmminftyd	mmcmminftyd
Width:	mmcmminftyd	mmcmminftyd
Height:	mmcmminftyd	mmcmminftyd
Surface area:	mm²cm²m²in²ft²yd²	mm²cm²m²in²ft²yd²
Volume:	mm³cm³m³in³ft³yd³	mm³cm³m³in³ft³yd³

The units for the original size and the model size are: mm = millimeters, cm = centimeters, m = meters, in = inches, ft = feet, yd = yards

Example: a model has the scale one to thirty. Then the surcafe area scale is one to nine hundred, the volume scale is one to twenty-seven thousand. A length of six meters at the original has a length of twenty centimeters at the model. With a model of one to one hundred, one centimeter in the model becomes one meter in the original. One square centimeter becomes ten thousand square centimeters, which is one square meter. One cubic centimeter becomes one million cubic centimeters, which is one cubic meter.

Model making is the construction of three-dimensional objects that are smaller than the things they are supposed to represent, but have the same proportions and sometimes the same colors. This can be done for private pleasure or for fun, but also has applications in industry and technology. In architecture and town planning, models are often used to get an impression of the buildings to be built. In technology, functional models are used that have certain functions of the objects to be built. Such models are often made for vehicles and airplanes. Aerodynamic properties such as air resistance can also be predicted well using models.

Last updated on 06/27/2025. Author: Jürgen Kummer