How can you assemble six 1 × 2 × 2 blocks and three 1 × 1 × 1 blocks into a 3 × 3 × 3 cube?
Source: Two Dutch architects: Jan Slothouber and William Graatsma.
Kudos to Charlie for building the solution. I too wanted to build the pieces, but I had neither sugar cubes nor dice at hand. I considered making paper blocks or spending the morning sawing wood, but I yielded to the temptation of the hint.