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.