All Fermi answers
Fermi #100 · Question 3

How much money is in a 100 kg (220 lb) stack of $100 bills?

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

3QUESTION 3 OF 3

Answer & explanation

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

Answer & explanation

Official answer

10,000,000

dollars

How to estimate it

Fermi’s official “Napkin math”

Picture a banded movie stack of $100 bills: 100 bills, so $10,000. It's about the size of a deck of cards. How heavy is that? Maybe a quarter pound.

Banded stack, $10,000
~1/4 lb
220 lb × 4
≈ 880 stacks
880 × $10,000
≈ $8,800,000

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

Source calculation & reference
Weight of any US banknote (BEP)
≈ 1 g
100 kg ÷ 1 g
100,000 bills
100,000 × $100
= $10,000,000

Reference cited by Fermi: US Bureau of Engraving and Printing: every US banknote, whatever the denomination, weighs about 1 gram

How close was your guess?

Your comparison will appear here.

Compare by ratio: divide the larger number by the smaller one. The closer to 1×, the better.

Skip to main content