Question: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by cutting out squares

A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by cutting out squares of length h from the corners and folding up the sides (Figure 30).

Which values of A and B maximize the volume of the box if h = 10 cm and AB = 900 cm²?

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