Estimation question
Count the number of soccer balls that can be accommodated on a soccer field.
- Estimation
- Medium
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What this question tests
Whether the candidate can build a clean geometric estimate using area assumptions and stated packing logic.
How to approach it
- State the field dimensions: a standard soccer field is roughly 105 by 68 meters, giving an area of roughly 7,140 square meters.
- Estimate a soccer ball's footprint: a ball is roughly 22 centimeters in diameter, so assume each ball occupies a square of about 0.3 by 0.3 meters for spacing, or 0.09 square meters.
- Divide total area by footprint per ball: 7,140 divided by 0.09 gives roughly 79,000 balls if packed flat in a single layer.
- Adjust for realistic packing inefficiency (balls are round, not square, so true packing density is lower), applying roughly a 20 percent reduction.
- Land on a final estimate of roughly 60,000 to 65,000 balls for a single flat layer, and note that stacking would multiply this further if allowed.
What a strong answer includes
- States field and ball dimensions explicitly before calculating, rather than jumping to a guessed final number.
- Adjusts for real packing inefficiency instead of assuming perfect square-tile packing of round objects.
- Clarifies the single-layer assumption and notes how stacking would change the answer if the interviewer wants that extension.
Common mistakes
- Using square packing without adjusting for the fact that circles don't tile perfectly.
- Not stating the field or ball dimension assumptions clearly before calculating.
Likely follow-up questions
- How would the estimate change if balls could be stacked three high?
- What if the question meant balls stored in a pile rather than laid out flat?
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Learn the skill behind it
Chapters of the AI PM course that teach what this question tests.
- Chapter 2: Data fluency: SQL, logs, and reading the truth yourself
- Chapter 9: Prove it paid off: outcomes, economics, and pricing
- Chapter 14: Get the job: the AI PM interview loop