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$7$ points$)$ A box with an open top is to be constructed from a square piece of cardboard with dimensions $8cm8cm.$ This box is constructed by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have.

$(4$ points$)$ Let $f(x,y,z,w)=45x^{3}z-\frac{1}{y}+w{z}^3.$ Evaluate $f(0,1,2,3)$ :

$2$