You and I are asked to each move an identically sized wooden box, each containing balls made of the same specic kind of steel. Both boxes are cubes and all lengths, heights, and widths are the same. The rst box has 2? identical large steel ball bearings pertectly packed into the box in an arrangement of 3x3x3, so that the outside of the balls touch the walls of the box and the ball bearings touch each other. The second box has 64 identical smaller steel ball bearings in a similar arrangement of 4x4x4. Assuming I'd prefer to take the lighter box {by weight], which box should I choose? Submit a document containing your answer to the puzzle. In your writeup. also address the following: . What is the answer to the question of the end of the puzzle? . Explain your reasoning. . Describe how you considered Rule 1 from the Puzzle-Based Learning textbook. . Is there a general answer to this question for any such cube of 1:3 steel ball bearings for any integer at? It so. what is it?r1