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A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and top, and a volume of 56 cm' . If nickel plating costs $1 per cm and silver plating costs $10 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.) length: cm height: cmFind two positive real numbers such that the sum of the first number and the second number is 40 and their product is a maximum. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list of two values.) numbers