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a box with no lid is created from a square of cardboard with a side length of 60 cm by cutting rectangles of length x by 2x from each corner (the extra side length of this square of 2x is folded over to create a double thickness side for added strength).

a) Express the length, width and height in terms of the variable x
b) Find the expression for the volume of the box in terms of x
c) Find the expression for the surface area of the box in terms of x
d) What are the restrictions of the variable? Explain.

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