All Fermi answers
Fermi #73 · Question 1

How many oranges would it take to weigh as much as an adult male orangutan?

Explore the official answer and the simple reasoning behind this Fermi estimate.

1QUESTION 1 OF 3

Answer & explanation

The official answer, with Fermi’s reasoning step by step.

Answer & explanation

Official answer

550

oranges

How to estimate it

Fermi’s official “Napkin math”

How heavy is a grown male orangutan? They're stocky, about as heavy as a big man, so maybe 100 kilograms. An orange is maybe 200 grams.

Orangutan
~100 kg
In grams
≈ 100,000 g
One orange
÷ 200 g
100,000 ÷ 200
≈ 500

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
Adult male Bornean orangutan (San Diego Zoo Wildlife Alliance)
≈ 87 kg (192 lb)
Whole orange with peel, 1 fruit (USDA FoodData Central)
÷ 159 g
87,000 ÷ 159
≈ 550

Reference cited by Fermi: San Diego Zoo Wildlife Alliance orangutan fact sheet: adult males weigh about 87 kg (192 lb) · USDA FoodData Central, Oranges, raw, with peel (FDC 169919): 1 fruit = 159 g

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