All Fermi answers
Fermi #103 · Question 1

How many standard Crayola crayons, laid flat side by side, would it take to cover a FIFA-size soccer pitch, 105 by 68 meters (115 by 74 yards)?

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

9,800,000

crayons

How to estimate it

Fermi’s official “Napkin math”

Start with the pitch. 105 by 68 meters is about 7,000 square meters. How big is a crayon lying flat? Maybe 10 cm long and 1 cm wide, so 1,000 of them fill a square meter.

The pitch, 105 × 68 m
≈ 7,000 m²
Crayons in a square meter
≈ 1,000
7,000 × 1,000
≈ 7,000,000

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

Source calculation & reference
One crayon, 3 5/8 by 5/16 in
≈ 731 mm²
FIFA pitch, 105 × 68 m
7,140 m²
7,140 m² ÷ 731 mm²
≈ 9,800,000

Reference cited by Fermi: Crayola: regular crayon 3 5/8 by 5/16 in. FIFA Stadium Guidelines: pitch 105 by 68 m

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