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A Rectangular Box Is to Have a Square Base and a Volume

Question 151

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A rectangular box is to have a square base and a volume of 24 ft.3. If the material for the base costs 20 cent/square foot, the material for the sides costs 10 cent/square foot, and the material for the top costs 40 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost.
​ A rectangular box is to have a square base and a volume of 24 ft.<sup>3</sup>. If the material for the base costs 20 cent/square foot, the material for the sides costs 10 cent/square foot, and the material for the top costs 40 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost. ​ ​ ​ A rectangular box is to have a square base and a volume of 24 ft.<sup>3</sup>. If the material for the base costs 20 cent/square foot, the material for the sides costs 10 cent/square foot, and the material for the top costs 40 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost. ​ ​

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