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

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 equiangular triangles.

`V=`  

Hint

Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Decimal values are not allowed