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A closed box is to be built out of cedar but to save money the back and base will be made of pine. Cedar costs

A closed box is to be built out of cedar but to save money the back and base will be made of pine. Cedar costs $8/m2 and pine costs $4/m2. The two ends of chest will be square. Find the dimensions of the least expensive chest if the capacity must be 2 m3. Round answers to two decimal places.

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