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8. A carpenter is building an open box with a square base and with no dimension less than 1 m. The material for the sides

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8. A carpenter is building an open box with a square base and with no dimension less than 1 m. The material for the sides of the box will cost $3 per square metre, and the material for the base will cost 54 per square metre. What are the dimensions of the box of greatest volumethat can be constructed for $72

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