A box with a volume of 8 m 3 is to be constructed with a gold-plated top,
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A box with a volume of 8 m3 is to be constructed with a gold-plated top, silver-plated bottom, and copper-plated sides. If gold plate costs $120 per square meter, silver plate costs $40 per square meter, and copper plate costs $10 per square meter, find the dimensions that will minimize the cost of the materials for the box.
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