Fermi Estimation: Sizing an Airplane's Weight Component by Component

Quick Overview

A product manager estimation question that asks how much an airplane weighs and how you would calculate it without looking anything up. It tests clarifying the aircraft type and load, breaking the airplane into components, labeling assumptions, doing clean arithmetic and sanity-checking the final range.

Fermi Estimation: Sizing an Airplane's Weight Component by Component

Company: Microsoft

Role: Product Manager

Category: Product / Decision Making

Difficulty: medium

Interview Round: Other

Your interviewer asks you to estimate how much an airplane weighs and to explain how you would calculate it. Assume you cannot look anything up, so the number has to come from reasoning you do out loud. Walk through which airplane and which weight you would estimate, how you would break the problem into pieces, what assumptions you would make, and how you would check whether your final number is plausible. ```hint Size what you can picture A whole airplane is hard to guess in one step. Which of its major parts could you size separately, starting from dimensions you can reason about from a cabin you have sat in? ``` ### Clarifying Questions - Which aircraft is meant: a small private propeller plane, a single-aisle passenger jet, a long-haul twin-aisle jet, a cargo freighter, a fighter, or a scale model? - Is the target the empty weight, or the weight at takeoff with fuel, passengers, bags and cargo aboard? - How precise should the answer be (an order of magnitude, or within roughly a quarter), and in which units: tonnes or pounds? - May I anchor on everyday facts, such as how many seats fit in a row, or must every input be derived from scratch? ### What a Strong Answer Covers - Pinning down the aircraft type and whether the weight is empty or loaded, and saying which one is being estimated - A stated equation that splits the airplane into components, with every input labeled as an assumption and units kept consistent - Coverage of every major contributor to mass, not only the outer shell - Clean arithmetic with round numbers, plus at least one independent cross-check - A final range, with the assumptions the answer is most sensitive to called out ### Follow-up Questions - How would the estimate change for a long-haul twin-aisle jet, and why would its weight per seat differ from a short-haul plane's? - Which single assumption moves your answer the most, and how would you narrow it down? - If the interviewer tells you your number is off by half, how would you find the part of your model that is wrong?

Overview: A product manager estimation question that asks how much an airplane weighs and how you would calculate it without looking anything up. It tests clarifying the aircraft type and load, breaking the airplane into components, labeling assumptions, doing clean arithmetic and sanity-checking the final range.

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Microsoft
Jun 18, 2024
mediumProduct ManagerOtherProduct / Decision Making
0
0

Your interviewer asks you to estimate how much an airplane weighs and to explain how you would calculate it. Assume you cannot look anything up, so the number has to come from reasoning you do out loud.

Walk through which airplane and which weight you would estimate, how you would break the problem into pieces, what assumptions you would make, and how you would check whether your final number is plausible.

Clarifying Questions Guidance

  • Which aircraft is meant: a small private propeller plane, a single-aisle passenger jet, a long-haul twin-aisle jet, a cargo freighter, a fighter, or a scale model?
  • Is the target the empty weight, or the weight at takeoff with fuel, passengers, bags and cargo aboard?
  • How precise should the answer be (an order of magnitude, or within roughly a quarter), and in which units: tonnes or pounds?
  • May I anchor on everyday facts, such as how many seats fit in a row, or must every input be derived from scratch?

What a Strong Answer Covers Guidance

  • Pinning down the aircraft type and whether the weight is empty or loaded, and saying which one is being estimated
  • A stated equation that splits the airplane into components, with every input labeled as an assumption and units kept consistent
  • Coverage of every major contributor to mass, not only the outer shell
  • Clean arithmetic with round numbers, plus at least one independent cross-check
  • A final range, with the assumptions the answer is most sensitive to called out

Follow-up Questions Guidance

  • How would the estimate change for a long-haul twin-aisle jet, and why would its weight per seat differ from a short-haul plane's?
  • Which single assumption moves your answer the most, and how would you narrow it down?
  • If the interviewer tells you your number is off by half, how would you find the part of your model that is wrong?