Scaled Results
Results appear above the form after calculation.
| Measurement | Original | Multiplier | Scaled result | Fraction |
|---|---|---|---|---|
| Length Power 1 |
100 cm | × 0.75 | 75 cm | 75 |
| Width Power 1 |
60 cm | × 0.75 | 45 cm | 45 |
| Height Power 1 |
40 cm | × 0.75 | 30 cm | 30 |
Batch results
| Item | Original | Scaled result | Dimension type |
|---|---|---|---|
| Panel A | 120 cm | 90 cm | Linear |
| Panel B | 75 cm | 56.25 cm | Linear |
| Sheet area | 2.4 m^2 | 13,500 cm^2 | Area |
| Container volume | 0.18 m^3 | 75,937.5 cm^3 | Volume |
Scale Visualizer
Compare the original rectangle with its scaled footprint.
Formula Used
Linear, area, and volume values require different powers.
Linear dimensions
Use for length, width, height, radius, and perimeter.
Areas
Both dimensions change, so the factor is squared.
Volumes
Three dimensions change, so the factor is cubed.
Percentage mode
A 30% reduction produces a factor of 0.70.
Ratio mode
For 1:50, the factor equals one divided by fifty.
Reverse mode
The exponent n matches length, area, or volume.
How to Use This Calculator
Complete the following steps for reliable proportional scaling.
- Select percentage, factor, ratio, target, or reverse mode.
- Enter the scaling value required by your chosen mode.
- Select input and output measurement units.
- Enter one or more original measurements.
- Choose decimal precision and fraction rounding.
- Press Calculate scale to refresh every result.
- Review linear, area, volume, and batch outputs.
- Download a CSV or PDF report when needed.
Worked Example
A cabinet plan is reduced from full size to one-quarter scale.
| Value | Original | Formula | Scaled |
|---|---|---|---|
| Width | 120 cm | 120 × 0.25 | 30 cm |
| Height | 80 cm | 80 × 0.25 | 20 cm |
| Panel area | 9,600 cm² | 9,600 × 0.25² | 600 cm² |
| Box volume | 288,000 cm³ | 288,000 × 0.25³ | 4,500 cm³ |
Reference Tables
Compare common scales, percentages, and application types.
| Scale | Factor | Typical use | 100 units become |
|---|---|---|---|
| 1:2 | 0.5 | Half-size templates | 50 |
| 1:5 | 0.2 | Product drawings | 20 |
| 1:10 | 0.1 | Interior details | 10 |
| 1:12 | 0.083333 | Dollhouses and models | 8.3333 |
| 1:20 | 0.05 | Building details | 5 |
| 1:24 | 0.041667 | Vehicle models | 4.1667 |
| 1:35 | 0.028571 | Military models | 2.8571 |
| 1:48 | 0.020833 | Aircraft and rail models | 2.0833 |
| 1:50 | 0.02 | Architectural plans | 2 |
| 1:72 | 0.013889 | Aircraft miniatures | 1.3889 |
| 1:87 | 0.011494 | HO railway models | 1.1494 |
| 1:100 | 0.01 | Floor plans | 1 |
| 1:144 | 0.006944 | Miniature aircraft | 0.6944 |
| 1:500 | 0.002 | Site plans | 0.2 |
| 1:1000 | 0.001 | Large maps | 0.1 |
| Reduction | Linear factor | Area retained | Volume retained |
|---|---|---|---|
| 5% | 0.95 | 90.25% | 85.7375% |
| 10% | 0.9 | 81% | 72.9% |
| 15% | 0.85 | 72.25% | 61.4125% |
| 20% | 0.8 | 64% | 51.2% |
| 25% | 0.75 | 56.25% | 42.1875% |
| 30% | 0.7 | 49% | 34.3% |
| 35% | 0.65 | 42.25% | 27.4625% |
| 40% | 0.6 | 36% | 21.6% |
| 50% | 0.5 | 25% | 12.5% |
| 60% | 0.4 | 16% | 6.4% |
| 70% | 0.3 | 9% | 2.7% |
| 75% | 0.25 | 6.25% | 1.5625% |
| 80% | 0.2 | 4% | 0.8% |
| 90% | 0.1 | 1% | 0.1% |
| Application | Important input | Recommended output | Special concern |
|---|---|---|---|
| Architecture | Drawing ratio | Millimeters | Printing accuracy |
| Model building | Model scale | Millimeters | Material thickness |
| Woodworking | Target dimension | Fractions of inches | Saw kerf |
| Sewing | Pattern percentage | Centimeters | Seam allowance |
| Image resizing | Pixel width | Pixels | Aspect ratio |
| Printing | DPI and page size | Inches or millimeters | Printer margins |
| Recipes | Serving factor | Same unit | Ingredient behavior |
| 3D printing | Linear factor | Millimeters | Wall thickness |
| Maps | Map ratio | Centimeters | Projection effects |
| Crafts | Template percentage | Mixed units | Cutting tolerance |
| Decimal | Fraction | Decimal | Fraction |
|---|---|---|---|
| 0.03125 | 1/32 | 0.53125 | 17/32 |
| 0.0625 | 1/16 | 0.5625 | 9/16 |
| 0.09375 | 3/32 | 0.59375 | 19/32 |
| 0.125 | 1/8 | 0.625 | 5/8 |
| 0.15625 | 5/32 | 0.65625 | 21/32 |
| 0.1875 | 3/16 | 0.6875 | 11/16 |
| 0.21875 | 7/32 | 0.71875 | 23/32 |
| 0.25 | 1/4 | 0.75 | 3/4 |
| 0.28125 | 9/32 | 0.78125 | 25/32 |
| 0.3125 | 5/16 | 0.8125 | 13/16 |
| 0.34375 | 11/32 | 0.84375 | 27/32 |
| 0.375 | 3/8 | 0.875 | 7/8 |
| 0.40625 | 13/32 | 0.90625 | 29/32 |
| 0.4375 | 7/16 | 0.9375 | 15/16 |
| 0.46875 | 15/32 | 0.96875 | 31/32 |
| 0.5 | 1/2 | 1.0 | 1 |
Calculation History
Saved calculations remain in this browser.
Understanding Proportional Scale Reduction
Learn how factors affect dimensions, areas, and volumes.
What scaling down means
Scaling down reduces every related dimension by one consistent factor. The shape remains similar when proportions stay locked. A factor below one creates a smaller result. A factor above one enlarges the original instead.
Choose the correct method
Percentage mode works well for printing and image resizing. Factor mode suits design software and three-dimensional models. Ratio mode supports architecture, maps, and miniature construction. Target mode finds a factor from known dimensions. Reverse mode recovers full-size measurements from scaled values.
Linear measurements change directly
Lengths use the scale factor once. This includes width, height, diameter, radius, and perimeter. A factor of one-half produces half-sized linear measurements. Unit conversion may then change the displayed number.
Area and volume change faster
Area uses the factor twice because two dimensions change. Volume uses the factor three times. Therefore, half-size dimensions retain one-quarter area. They retain only one-eighth volume. This matters for materials, storage, weight estimates, and capacity.
Maintain practical accuracy
Keep extra decimals during intermediate calculations. Round only the final result. Woodworking often needs fractional inches. Engineering usually requires decimal millimeters. Pixel conversion also needs the correct dots-per-inch setting.
Check real-world constraints
Some properties do not scale perfectly. Material thickness may require a minimum value. Fasteners may need standard sizes. Printer margins can alter drawings. Recipes may need practical ingredient adjustments. Structural loads require professional verification.
Use exports for documentation
CSV files support spreadsheets and project schedules. PDF reports support printing and sharing. Save calculation history for repeated comparisons. Clear stored entries when a project ends.
Final accuracy reminder
Measure twice before cutting, printing, machining, or manufacturing. Confirm critical dimensions with qualified project professionals every time.
Frequently Asked Questions
Answers cover common scaling decisions and measurement issues.
What is a scale factor?
How do I scale down by a percentage?
How does a 1:50 scale work?
Why is area multiplied by the factor squared?
Why is volume multiplied by the factor cubed?
Can the calculator accept fractions?
Can I convert units while scaling?
Are scaled plans ready for construction?
Keyboard and Accessibility Guide
Use standard keyboard controls throughout the calculator.
Move forward
Navigate to the next field or control.
Move backward
Return to the previous field or control.
Calculate
Submit the current values from any field.