← Exercises

The great toilet-paper odometer

Easy · 8 min

💡 by user: SymTech editorial team · 🤖 Built & fact-checked by AI · ✅ Human approved

Picture a mid-sized coastal town: 350,000 people, all with perfectly ordinary morning routines. Someone has to buy the paper.

The great toilet-paper odometer
AI illustration, house style

The question — set by SymTech editorial

How many rolls of toilet paper does the whole town use in a year — and if you unrolled them into one strip, how far would it reach?

This one came from the SymTech editorial team — a human prompt, then the AI built and verified the exercise.

Work it out

  1. 350,000 ÷ 3 ≈ 117,000 rolls per day.
  2. × 365 ≈ 43 million rolls per year.
  3. Unrolled: 43 M × 20 m ≈ 850,000 km.
  4. Earth's circumference ≈ 40,000 km.
  5. 850,000 ÷ 40,000 ≈ 21 laps.

What it teaches

Fermi estimation: shrink the town to one person, the person to one number per day, then multiply back up. Rough facts beat precise ignorance.

💡 Hermi's tip — make it yours

Count the rolls in your own bathroom for a week, multiply by 52, then by your household size and your city's households. The 43-million-roll figure is somebody's hometown maths waiting to be yours.

📚 Where the numbers come from

Each value links to its source. AI cross-checked these values against its sources at build time; they are order-of-magnitude estimates by design.

🔌 this page, illustration and short took ≈25 Wh of compute to build — about 2 phone charges; the site's whole library costs less than one hour of an electric kettle