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17 squares.

1 of size 4x4, 4 of size 3x3, 9 of size 2x2, 16 of size 1x1 Total 30 but that depends on a particular interpretation of the question (16 squares arranged in a 4x4 group). If the 16 are arranged in a row, then they might be regarded as a rectangle and you only have 1 square (the box). If you define the box to be a real 3 dimensional box then the box itself has 6 or 5 squares depending on if it has a lid or not.

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Q: If a square box has sixteen squares inside how many squares are there?
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