A child has a set of blocks that are all made from the same type of wood. The blocks come...
A child has a set of blocks that are all made from the same type of wood. The blocks come in three shapes: a cube of side L, a piece the size of two cubes, and a piece equivalent in size to three of the cubes placed end to end. The child stacks three blocks as shown in the figure: a cube on the bottom, one of the longest blocks horizontally on top of that, and the medium-sized block placed vertically on top. The centers of each block are initially on a vertical line. How far can the top block be slid along the middle block before the middle block tips?
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