Enter the original and scaled dimensions into the calculator to determine the scale multiplier. This calculator helps in scaling models, maps, or any other objects that require size adjustments.

Scale Multiplier Formula

The following formula is used to calculate the scale multiplier.

SM = SD / OD

Variables:

  • SM is the scale multiplier
  • SD is the scaled dimension (units)
  • OD is the original dimension (units)

To calculate the scale multiplier, divide the scaled dimension by the original dimension.

What is a Scale Multiplier?

A scale multiplier is a factor by which an object’s size is increased or decreased to create a new scaled object. It is commonly used in various fields such as architecture, engineering, and cartography to represent large objects or distances in a smaller, more manageable size. The scale multiplier allows for accurate representation of the original object’s proportions in the scaled version.

How to Calculate Scale Multiplier?

The following steps outline how to calculate the Scale Multiplier.


  1. First, determine the original dimension (OD) of the object in units.
  2. Next, determine the scaled dimension (SD) of the object in units.
  3. Next, gather the formula from above = SM = SD / OD.
  4. Finally, calculate the Scale Multiplier (SM).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

original dimension (OD) = 50 units

scaled dimension (SD) = 150 units