Question
A box has a square base of side x and height h.
(a) Find the dimensions x, h for which the volume is 12 and the surface area is as small as possible.
(Use symbolic notation and fractions where needed.)
X =
h =
(b) Find the dimensions x, h for which the surface area is 23 and the volume is as large as possible.
(Use symbolic notation and fractions where needed.)
X =
h =

Image Transcription

A box has a square base of side x and height h. (a) Find the dimensions x, h for which the volume is 12 and the surface area is as small as possible. (Use symbolic notation and fractions where needed.) X = h = (b) Find the dimensions x, h for which the surface area is 23 and the volume is as large as possible. (Use symbolic notation and fractions where needed.) X = h =

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