Estimation Drill: Weighing the Empire State Building Without a Scale

Estimate how much the Empire State Building in New York weighs. Walk through how you break the problem down, label every assumption, and finish with a number, a plausible range and a check that the number is reasonable. ```hint Anchor on what you know Before choosing an equation, write down what you can recall or picture about the building's size and shape. Those are the inputs your estimate has to start from. ``` ### Clarifying Questions - Does "weight" mean the building's structure alone, or also its contents: furniture, equipment and the people inside? - Should the foundations below street level count, or only what stands above ground? - Is the mast and antenna at the top in scope? - Which unit and precision are wanted: metric tonnes or US tons, and is an order of magnitude enough? ### What a Strong Answer Covers - A scoped definition of what is being weighed, settled before any arithmetic - A top-line equation that splits the mass into a few factors that can each be estimated - Labeled, round assumptions about the building's geometry and construction, each with a one-line rationale - Correct, unit-consistent arithmetic - A cross-check from an independent second method, a final range, and how the answer moves if the scope widens ### Follow-up Questions - Which assumption moves your answer the most, and how would you narrow it? - How would your estimate change for a modern glass-and-steel tower of the same height? - How would you estimate how much of the total is structural steel?