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

Question 121

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A rectangular box is to have a square base and a volume of 4 ft.3. If the material for the base costs 20 cent/square foot, the material for the sides costs 30 cent/square foot, and the material for the top costs 10 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 4 ft.<sup>3</sup>. If the material for the base costs 20 cent/square foot, the material for the sides costs 30 cent/square foot, and the material for the top costs 10 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost. ​ ​ A) B) ​ C) ​ D) ​ ​


A) A rectangular box is to have a square base and a volume of 4 ft.<sup>3</sup>. If the material for the base costs 20 cent/square foot, the material for the sides costs 30 cent/square foot, and the material for the top costs 10 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost. ​ ​ A) B) ​ C) ​ D) ​
B) ​ A rectangular box is to have a square base and a volume of 4 ft.<sup>3</sup>. If the material for the base costs 20 cent/square foot, the material for the sides costs 30 cent/square foot, and the material for the top costs 10 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost. ​ ​ A) B) ​ C) ​ D) ​
C) ​ A rectangular box is to have a square base and a volume of 4 ft.<sup>3</sup>. If the material for the base costs 20 cent/square foot, the material for the sides costs 30 cent/square foot, and the material for the top costs 10 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost. ​ ​ A) B) ​ C) ​ D) ​
D) ​ A rectangular box is to have a square base and a volume of 4 ft.<sup>3</sup>. If the material for the base costs 20 cent/square foot, the material for the sides costs 30 cent/square foot, and the material for the top costs 10 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost. ​ ​ A) B) ​ C) ​ D) ​

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