A closed rectangular box has volume 32 cm3 . what are the lengths of the edges giving the minimum surface area?

1 answer:

8 0

The minimum area is obtained if the box is a cube.
⇒ The lengths of the edges are:

$\displaystyle\\
l= \sqrt[\b3]{32} = \sqrt[\b3]{8 \times 4} = \boxed{2\sqrt[\b3]{4}~~cm}$

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