As shown in the figure, cut off the four corners of a rectangular iron sheet 40cm in length and 30cm in width to form a square of the same size, and then fold each side to make a box without cover, so that its bottom area (shadow part) is half of the area of the original iron sheet, and calculate the height of the box

Let the height be X.2 (30-2x) (40-2x) = 40 × 30, then we can get x 2-35x + 150 = 0, so x = 5 or x = 30 (rounding off)

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