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A rectangular box of volume 3300 c1113 is to be constructed by folding a cross- shapecl piece of at cardboard as shown in the diagram

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A rectangular box of volume 3300 c1113 is to be constructed by folding a cross- shapecl piece of at cardboard as shown in the diagram below, where L indicates the length, W the width, and H the height of the box. The base of the box is indicated by solid lines in the right gure in the diagram. Let T be the longest dimension of the piece of cardboard needed, as shown in blue. Suppose the resulting box is required to have its length equal to 2.2 times the width. Find a formula for T as a function of the length alone, i.e., write T = T(L), a function of the one variable L. Simplify your formulanasmlnuch as possible. F ' i H: H 2.............................. -.............................E........................................': - EH w i u g E H L H g F. E n

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