Cubes in Cuboid

Geometry Level 3

Find the maximum number of cubes with each 3 units 3\text{ units } edge length that you can place completely inside a 400 units ×300 units ×90 units400\text{ units } \times 300\text{ units } \times 90\text{ units} rectangular box such that

  • The small cubes may touch each other, but may not overlap.
  • The faces of the small cubes are parallel to the faces of the rectangular box.
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