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You are constructing an open top box from a rectangular piece of cardboard of dimensions 12 and 20 cm by cutting out equal squares of

You are constructing an open top box from a rectangular piece of cardboard of dimensions 12 and 20 cm by cutting out equal squares of side at each corner and folding up the sides. a) Find all possible values for that produce a box of volume 180 cm3. (Round to 3 decimal places). b) Suppose you are allowed to make an error of 4 cm3 in the volume. Use Desmos (or any other graphing device) to approximate the allowable range of when cutting the corners.

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