123456-11234567-1-2-3-4-5-6-7[Graphs generated by this script: initPicture(-1,6,-7,7);axes(1,1,1,1,1);stroke='blue';strokewidth=2;line([1,5],[4,5]);line([1,-5],[4,-5]);line([4,5],[4,-5]);line([0,0],[1,5]);line([0,0],[1,-5]);]

The graph above shows the base of an object. Compute the exact value of the volume of the object, given that cross sections (perpendicular to the base) are squares.


V=\displaystyle {V}=