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an open box is to be constructed from a rectangular piece of sheet metal 8x12 inches by cutting away identical x inch squares from each of the four corners and folding up the sides express the volume of the resulting box as a function of x

Sagot :

Let the Length be equal to 12 - 2X Width be equal to 8 - 2x V = Area of base × Height V(x) = (12 - 2x)(8 - 2x)(x) V(x) = 96x - 40x^2 + 4x^3