Scale Factor Calculator

Determine the ratio between two similar shapes or dimensions.

Dimensions

Original Dimension

Scaled Dimension

Scaling Analysis

2.500

Scale Factor (k)

Multiplicative factor for scaling properties.

Size Change (%)150.0%

Area Factor (k²)6.250

Volume Factor (k³)15.625

Original

Scaled

What is Scale Factor?

A scale factor is a number which scales, or multiplies, some quantity. In geometry, the scale factor is the ratio of corresponding linear dimensions of two similar shapes. If the scale factor is greater than 1, the shape is enlarged; if it's between 0 and 1, it's reduced.

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Pro Tips

Always ensure both dimensions use the same units before dividing.
For area, the scale factor is squared (k²).
For volume, the scale factor is cubed (k³).

Fun Facts

"The 'Golden Ratio' is a famous scale factor used in art and nature (≈ 1.618)."
"Model kits usually specify their scale factor, such as 1:24 or 1:72."
"Standard paper sizes like A4 use a scale factor of √2 between consecutive sizes."

Formula: k = Scaled Dimension / Original Dimension

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