Question: A container manufacturer plans to make rectangular boxes whose bottom and top measure 3 x by x . The container must contain 1 2 in

A container manufacturer plans to make rectangular boxes whose bottom and top measure 3x by x. The container must contain 12in^3 The top and the bottom will cost $1.20$ per square inch, while the four sides will cost $3.20 per square inch.
What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth.

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