🔢 Math Calculator

📐 How It Works

Converts measurements using a scale ratio — used in maps, architectural drawings, and model making where real dimensions must relate to drawn dimensions.

🔢 Worked Examples

• 1:50,000 map: 2cm = 1km real
• 1:100 blueprint: 5cm = 5m real
• 1:87 model train: 10cm = 8.7m real
• 1:250,000 atlas: 4cm = 100km real

📋 Common Use Cases

• Map reading and route planning
• Architectural and engineering drawings
• Scale model building
• Classroom geography and science

💡 Did You Know?

The Ordnance Survey 1:25,000 "Explorer" maps of the UK are so detailed that 4cm on the map represents 1km on the ground. At 1:1 scale, a map of the UK would cover all of the UK — a concept humorously explored in Lewis Carroll's Sylvie and Bruno Concluded (1893).

⚠️ Common Mistake

Applying scale ratios to area or volume — a 1:100 scale reduces length by 100×, but area by 100² = 10,000× and volume by 100³ = 1,000,000×.