November 12–November 19, 2010
Problem
Suppose you have cubes with side lengths 
and so
on. If we wanted to stack the cubes,
one on top of another, the height of the pile would be infinity as
However the total volume of all the cubes is finite as we know that
Show that it is possible to fit all the cubes in a rectangular box of
dimensions 
.
Solution
List of solvers
Gourab Ray, Brett Kleinschmidt, Jonathan Cross, Sanchayan Sen.
Brett Kleinschmidt wins the prize!