# A worker is to construct an open rectangular box with a square base and a volume of 147 ft3. If material for the bottom costs​ \$6/ft2 and material for the sides costs ​\$7​/ft2 what dimensions will result in the least expensive​ box? What is the minimum​ cost?Let x be the length of one side of the base of the box. Express the total cost of the​ materials, C, in terms of x.

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A worker is to construct an open rectangular box with a square base and a volume of 147 ft3. If material for the bottom costs​ \$6/ftand material for the sides costs ​\$7​/ftwhat dimensions will result in the least expensive​ box? What is the minimum​ cost?

Let x be the length of one side of the base of the box. Express the total cost of the​ materials, C, in terms of x.

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Consider the given informa...

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