Math Olympiad for Elementary | 2021 | Division E | Contest 4 | MOEMS | 4E

Problem: There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 x 1 x 1 unit-cubes glued whole-face to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?

Key: Flipping the figure upside down so that it formed a perfect cube

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