Bunuel wrote:
Is rectangular box B a cube?
(1) All six faces of B have the same area.
(2) The cylinder of greatest volume that can be placed inside B occupies π/4 of the volume of B.
Statement 1:We can conclude \(H*L = L*W = W*H\). Take any two equations and we would find \(H=W*L\). Sufficient.
Statement 2:If we focus on the base, this tells us the base of this cylinder is \(\pi/4\) of the base of the rectangular box. Although we can confirm the base is square with some effort, this would tell us nothing about the height so this statement is insufficient.
Ans: A
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