Estimation question

How many elevators are there in a building?

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What this question tests

Estimation: can you reason through a physical-world Fermi problem by anchoring on building height and code/usage norms.

How to approach it

  1. Clarify scope: estimate elevators in one representative large building (e.g. a 40-floor office tower) versus a whole city.
  2. State an assumption for building height, e.g. 40 floors, and typical elevator-to-floor ratios in commercial code (roughly 1 elevator per 8-10 floors of capacity need).
  3. Adjust for building type: office towers need more elevators for peak-hour capacity than residential buildings of the same height.
  4. Estimate a range, e.g. 6-10 elevators for a 40-floor office tower, based on the ratio.
  5. If scoped to a city, multiply by an estimated count of buildings above a certain height threshold in that city.
  6. State what data would refine it: actual elevator codes (like ASME A17.1 guidance) or a sample of known buildings.

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