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A cube of metal with sides of length a sits at rest in the laboratory with one edge parallel to the x axis. Therefore, in the laboratory frame, its volume is a3. A rocket ship flies past the laboratory parallel to the x axis with a velocity v. As measured by an observer in the rocket, determine (a) the length of the edges of the cube that are perpendicular to the x axis, (b) the length of the cube edges that are parallel to the x axis, and (c) the volume of the metal cube.
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