The open bow is to be made from the 6 by 8 in rectangular sheet of tin by cutting out squares of similar size at each corner, then folding up resulting flaps. Consider x denote length of side of eery cut-out square. Suppose negligible thickness.
i) Determine the formula for volume of box as the function of x.
ii) for what values of x formula from part a) makes sense in context of problem?
iii) Draw the graph of volume function.
iv) Determine maximum volume of box?