Please help I don't think there is a way to solve this problem. I don't think there is enough info.
Thanks for your time
A box with a square base has a volume of 12 cubic feet. How high should the box be in order that it has the minimal surface area. has a top and 6 sides

Question

Please help I don't think there is a way to solve this problem. I don't think there is enough info.  
Thanks for your time
A box with a square base has a volume of 12 cubic feet.  How high should the box be in order that it has the minimal surface area.  has a top and 6 sides

anonymous · Answer

please please help

amistre64 · Answer

so it looks like we need to define a volume of a box that is 12 cubic feet ... and work some derivatives

amistre64 · Answer

do you know a general equation for surface area of a box with a square base?

amistre64 · Answer

|dw:1358369719202:dw|

amistre64 · Answer

Sa = 4sh + 2s^2

V = s^2 h = 12

h = 12/s^2

Sa = 4s(12/s^2) + 2s^2
    = 48s^(-1) + 2s^2

when we know s, we should then be able to solve for h

anonymous · Answer

Is the right answer for h 0.0833333

amistre64 · Answer

dunno, i havent had the chance to work it out :)  ill check on it when i can leter.