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If we denote the side of the square piece of cardboard with x, then the dimensions of the box are:

height = 2 cm

length = x - 4 cm

width = x - 4 cm

V = lwh = 392 cm^3 So we have: 2(x - 4)(x -4) = 392 divide by 2 to both sides;

(x - 4)(x - 4) = 196

(x - 4)^2 = 196

x - 4 = square root of 196 (because the dimensions are to be positive)

x - 4 = 14

x = 18

Thus the original size of the cardboard is 18 x 18 cm.

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