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ISI2018-DCG-21

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A box with a square base of length $x$ and height $y$ has an open top and its volume is $32$ cubic centimetres, as shown in the figure below. The values of $x$ and $y$ that minimize the surface area of the box are

  1. $x=4$ cm $\&$ $y=2 $ cm
  2. $x=3$ cm $\&$ $y=\frac{32}{9} $ cm
  3. $x=2$ cm $\&$ $y=8 $ cm
  4. none of these.
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