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[Graphs generated by this script: initPicture(-1,6,-8,8);axes(1,1,1,1,1);stroke='blue';strokewidth=2;line([1,6],[4,6]);line([1,-6],[4,-6]);line([4,6],[4,-6]);line([0,0],[1,6]);line([0,0],[1,-6]);]

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.

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MathQuill
   x  x  √  n√  |   | (   ) π ∞ DNE
   x  √  (   ) π ∞ DNE
( ) ( ] [ ) [ ] —∞ ∞ ∪ DNE
< > ≤ ≥ or All Real Numbers DNE
log logn ln n√  | | e 
sin cos tan arcsin arccos arctan ⟨ ⟩
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