A box without a lid is constructed from a 20 inch by 20 inch piece of cardboard by cutting x\displaystyle {x} in. squares from each corner and folding up the sides.
a) Determine the volume of the box as a function of the variable x\displaystyle {x}.
V(x)=\displaystyle {V}{\left({x}\right)}=  
b) Use a graphing calculator to approximate the values of x\displaystyle {x} that produce a volume of 562.5.
Give, to at least two decimal places, the largest reasonable answer.
x=\displaystyle {x}=  

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