The product is 224
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If the base of the box is 16X14, then the diagonal, d1 of the base is d1 =√(16)2+(14)2=√452=21.26 The diagonal of the box, d2 ,is then d2=√(21.26)2+(12)2=√595.9676=24.41 Whether the flute will fit depends upon is diameter. If the diametert is less than 0.41 inch it should fit.