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 cm³. If nickel plating costs $1 per cm? 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 answer to three decimal places.) length: cm height: cm

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter43: Introduction To Equations
Section: Chapter Questions
Problem 28A: In each of the following problems, refer to the given figure, solve for the unknowns, and check....
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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 cm³.
If nickel plating costs $1 per cm² and silver plating costs $ 12 per cm?, find the dimensions of the box to minimize the cost of
the materials.
(Use decimal notation. Give your answer to three decimal places.)
length:
cm
height:
cm
Transcribed Image Text:Question 6 of 10 > 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 cm³. If nickel plating costs $1 per cm² and silver plating costs $ 12 per cm?, find the dimensions of the box to minimize the cost of the materials. (Use decimal notation. Give your answer to three decimal places.) length: cm height: cm
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