A metalworking company is being contracted by a paper factory to design and build a rectangular steel tank, with a square base, without a lid, and with a volume of 500 m³. The tank will be constructed by welding steel plates along the edges. The challenge is to determine the dimensions of the base and the height that will make the tank weigh as little as possible. Describe how you will take weight into consideration to solve the problem (cost-benefit analysis);

Elementary Geometry For College Students, 7e
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Section9.1: Prisms, Area And Volume
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A metalworking company is being contracted by a paper factory to design and build a rectangular steel tank, with a square base, without a lid, and with a volume of 500 m³. The tank will be constructed by welding steel plates along the edges. The challenge is to determine the dimensions of the base and the height that will make the tank weigh as little as possible.

Describe how you will take weight into consideration to solve the problem (cost-benefit analysis);

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