An open-top box with a square base is to be constructed from two types of materials, one for the bottom and one for the sides. The volume of the box is to be 9 cubic feet. The cost of the material for...

An open-top box with a square base is to be constructed from two types of materials, one for the bottom and one for the sides. The volume of the box is to be 9 cubic feet. The cost of the material for the bottom is 4 Pesos per square foot, and the cost of the material for the sides is 3 Pesos per square foot. Let x be the length of the edge of the square base and let y be the height of the open box.
Express the Height of the box in terms of x.

Express the cost of the materials in terms of the edge x of the base

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There is one bottom with the area `x^2` square feet. Its cost is `4x^2` Pesos. There are also four sides, each of them is a rectangle with one side of the length x and...

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