Two Solid Cubes of Lead

Henry Dudeney cubes puzzle

You have two solid cubes of lead, which have almost the same size. You cut a hole in one of them and pass the other one through it. After measuring the cubes later, it turns out that the larger cube is still heavier than the smaller one. How is this possible?

You cut a hole in the SMALLER cube, and pass the larger cube through it. Prince Rupert's Cube is the largest cube which can pass through a unit cube, and it is approximately 6% larger.