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Does the statement at the device must fit inside a 51cm cube in any orientation mean that the device must be able to rotate in all directions inside the cube? I don't understand the intent of the "any orientation" phase.

The entire device (with the cup), in both launch and flying configuration, must fit into a 51 cm cube in any orientation the student chooses. The entire device does not have to rotate in the 51 cm cube when it is being measured it just has to fit within the cube.