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It takes 125 identical wooden cubes to fill a cubical box. How many of these cubes does it take to cover the bottom of the box?

Could someone explain this one to me?

  • math -

    125 is a perfect cube, namely 5^3
    so the box is 5 by 5 by 5
    and the area of the bottom would be 25,
    so it would take 25 of the cubes to fill the bottom layer.

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