Question: 1) A metal box with a square base is made out of two materials. The bottom and the four sides are made of titanium alloy,

1) A metal box with a square base is made out of two materials. The bottom and the four sides are made of titanium alloy, which costs $5 per square foot. The top is made of adamantine, which costs $19 per square foot. The box must hold $ cubic feet. What are the dimensions of the cheapest box that meets this volume requirement, and what is its cost? one for the edge length of the base and one for the height

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