Write an equation that gives the cost, C, of the box if the length of one side of the base of the box is x feet

I have C = x(24 - 3x)^3, I dont think I understand the question very well.

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Write an equation that gives the cost, C, of the box if the length of one side of the base of the box is x feet

I have C = x(24 - 3x)^3, I dont think I understand the question very well.

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How did you arrive at this equation? What was your logic? How are the prices included? How does this relate to the surface areas (and costs) of each side?Bobbie said:I have C = x(24 - 3x)^3, I dont think I understand the question very well.

Thank you.

Eliz.

x = the length and width of the box as it was specified to be a square base.Bobbie said:

Write an equation that gives the cost, C, of the box if the length of one side of the base of the box is x feet

I have C = x(24 - 3x)^3, I dont think I understand the question very well.

y = the depth of the box = 24/x^2

Assuming the box is a typical box with 4 flaps forming both the bottom and top of the box, meaning that both the bottom and top have 4 flaps measuring x by x/2.

Therefore, the total cost of the box is C = [.25(4x(24/x^2)] + .50(2x^2) + 1(2x^2).

I'll let you expand and simplify the end result.