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A box is to be formed by cutting squares measuring 2 cm on a side from a square piece of cardboard and then folding the sides If the volume of the box is to be 392 cmcube what is the original size?
Wiki User
∙ 15y ago
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.
Wiki User
∙ 15y ago
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