Estimation question

What is the weight of the Empire State Building?

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What this question tests

Tests estimation skill: decomposing a physical scale question into material volume and density with clearly stated assumptions.

How to approach it

  1. Estimate the building's dimensions, height, footprint, and number of floors, stating these as rough assumptions.
  2. Estimate the primary materials used, mainly steel frame and concrete, since those dominate a skyscraper's total mass.
  3. Estimate material volume per floor based on assumed footprint and material thickness, then multiply by the number of floors.
  4. Apply known density figures for steel and concrete to convert volume into weight.
  5. Sum the material weights for a rough total, showing the arithmetic clearly.
  6. State clearly that this is a rough order of magnitude estimate, not a precise figure.

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