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A 12in.by2in. sheet of card board is folded in half to form a 12in.by12in. rectangle as shown in the accompanying gure. Then four congruent squares

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A 12in.by2in. sheet of card board is folded in half to form a 12in.by12in. rectangle as shown in the accompanying gure. Then four congruent squares of side length x are cut from the comers of the folded rectangle. The sheet is unfolded, and the six tabs are folded up to form a box with sides and a lid. Complete parts (a) through {f} below. i x x ___ ___ : x x I : I : 12in. : i :Basei t i i x x : ___: : ___: : X X |- 24in 3+ |- minrt |- um "i E) a. Write a formula Vx) for the volume of the box. V[)

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