Scale Calculator
Convert between scale factors, scaled dimensions, and real-world measurements
Scale Conversion Calculator
Measurement on map/model/drawing
Actual real-world measurement
Scale Conversion Results
Scale Information
Length Values
Example: Garden Shed Blueprint
Blueprint dimensions: Length 10 cm, Width 8 cm, Height 5 cm
Desired real length: 5 m
Scale factor: 10 cm ÷ 5 m = 0.02 (or 1:50)
Real dimensions: Length 5 m, Width 4 m, Height 2.5 m
Total volume: 5 × 4 × 2.5 = 50 m³
Common Architectural Scales
Types of Scales
Numerical Scale
Expressed as ratios like 1:100 or 1:1000
Lexical Scale
Described in words: "1 cm to 1 km"
Linear Scale
Graphical representation with measurements
Scale Tips
Scale factor = Scaled size ÷ Real size
Area scales by factor²
Volume scales by factor³
1:100 means 1 unit = 100 units in reality
Understanding Scale Conversion
What is a Scale Factor?
A scale factor is a ratio between two corresponding measurements. It represents how much the scaled object is enlarged or reduced compared to the original size.
Scale Factor Formula
Scale Factor = Scaled Size ÷ Real Size
Common Applications
- •Architectural drawings and blueprints
- •Maps and geographic representations
- •Model construction and scaled replicas
- •Engineering drawings and technical plans
Area and Volume Scaling
When scaling objects, different measurements scale differently:
- Length: Scales by the scale factor (f)
- Area: Scales by the scale factor squared (f²)
- Volume: Scales by the scale factor cubed (f³)
Example
If you scale a cube by a factor of 2:
- • Each side becomes 2× longer
- • Each face becomes 4× larger (2²)
- • The volume becomes 8× larger (2³)
Note: A scale factor less than 1 means the scaled object is smaller than the original.