← Exercises

Shower the lake

Hard · 15 min

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

Lake Bled, island church and all. The water is clean enough to swim in, so let's imagine something absurd: spending all of it on showers.

Shower the lake
AI illustration, house style

The question — set by SymTech editorial

If you drained the lake one 10-minute shower at a time, how many showers would it give?

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

Work it out

  1. 1.4 km² = 1.4 × 10⁶ m²; × 18 m ≈ 2.5 × 10⁷ m³.
  2. 1 m³ = 1,000 litres → ≈ 25 billion litres.
  3. ÷ 80 L ≈ 320 million showers.
  4. If all 5,000 residents of Bled showered every single day:
  5. 320 M ÷ 5,000 ≈ 64,000 days ≈ 175 years.

What it teaches

Volume = surface × average depth: the one trick that lets you size lakes, pools and rain clouds with two numbers you can look up.

💡 Hermi's tip — make it yours

Meter your own shower: time × the flow you can catch in a bucket. Multiply by 365 and by your town's population — then check whether your local lake should start worrying.

📚 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 ≈24 Wh of compute to build — about 2 phone charges; the site's whole library costs less than one hour of an electric kettle