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A jewelry box with a square base is to be built with silver plated sides, nickel...

A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and top, and a volume of 28 cm3. If nickel plating costs $1 per cm2 and silver plating costs $12 per cm2, find the dimensions of the box to minimize the cost of the materials. (Use decimal notation. Give your answers to three decimal places.)

Math   Calculus   
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Answer #1

Note: since cost = 4x^2+12(4xh). Then differentiate and find the value of x as explained in the image.

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