Fermi Estimation Case: How Heavy Is a Boeing 747?

Quick Overview

A Fermi estimation question asking how much a Boeing 747 weighs. It tests whether you clarify empty versus loaded weight, break the aircraft into estimable components with physically sensible assumptions, keep units consistent and sanity-check the final figure from an independent angle.

Fermi Estimation Case: How Heavy Is a Boeing 747?

Company: Google

Role: Product Manager

Category: Product / Decision Making

Difficulty: medium

Interview Round: Other

Estimate how much a Boeing 747 weighs. Walk through how you get to the number, call out each assumption, and finish with a figure and how confident you are in it. ```hint Break it into parts Split the aircraft into a handful of large pieces whose sizes you can picture, and settle early whether fuel, passengers and cargo belong in the number. ``` ### Clarifying Questions - Do you want the empty aircraft, or the aircraft loaded with fuel, passengers and cargo at takeoff? - Which 747: an early passenger model, a later one, or a freighter? - Should the answer be in kilograms, pounds or tonnes, and how precise does it need to be? ### What a Strong Answer Covers - A settled definition of which weight is being estimated, agreed before any arithmetic - A breakdown into components that together account for the aircraft's mass - Labeled, physically sensible assumptions for each component, including the sizes and material density used - Arithmetic that is correct and unit-consistent - A sanity check from an independent angle, a final range, and the inputs that move the answer most ### Follow-up Questions - If you could not look the number up, how would you measure it directly? - Which part of your estimate are you least confident in, and how would you narrow it? - How does the takeoff weight differ between a long-haul flight and a short one?

Overview: A Fermi estimation question asking how much a Boeing 747 weighs. It tests whether you clarify empty versus loaded weight, break the aircraft into estimable components with physically sensible assumptions, keep units consistent and sanity-check the final figure from an independent angle.

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Google
Apr 9, 2024
mediumProduct ManagerOtherProduct / Decision Making
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Estimate how much a Boeing 747 weighs. Walk through how you get to the number, call out each assumption, and finish with a figure and how confident you are in it.

Clarifying Questions Guidance

  • Do you want the empty aircraft, or the aircraft loaded with fuel, passengers and cargo at takeoff?
  • Which 747: an early passenger model, a later one, or a freighter?
  • Should the answer be in kilograms, pounds or tonnes, and how precise does it need to be?

What a Strong Answer Covers Guidance

  • A settled definition of which weight is being estimated, agreed before any arithmetic
  • A breakdown into components that together account for the aircraft's mass
  • Labeled, physically sensible assumptions for each component, including the sizes and material density used
  • Arithmetic that is correct and unit-consistent
  • A sanity check from an independent angle, a final range, and the inputs that move the answer most

Follow-up Questions Guidance

  • If you could not look the number up, how would you measure it directly?
  • Which part of your estimate are you least confident in, and how would you narrow it?
  • How does the takeoff weight differ between a long-haul flight and a short one?