Integral Surface area proportionality to Volume : Brain Picker

[cyrut2]

You have a fixed volume. Need to find out what the max/min surface area would be. Volume is 1200. From my though process i think that this would be a integral problem based on lxwxh and 2wh + 2wl + 2hl relationship. Correct me if im wrong. Think of it as a gallons of air in a weather balloon with the surface area becoming flexible and mold-able. What would the external SA be if it would never be "measurable" in true l w h dimensioning. Lets say the material in the balloon is not elastic so there is no chance of deformation nor would the temp or density of the air change.

AC

 

[lookagain]

You have a fixed volume. Need to find out what the max/min
surface area would be.
Volume is 1200. From my though process i think that this would be a integral problem
1) based on lxwxh and 2wh + 2wl + 2hl relationship.

Correct me if im wrong. Think of it as a gallons of air in a weather balloon with the
2) surface area becoming flexible and mold-able.

What would the external SA be if it would never be "measurable" in true l w h dimensioning.
Lets say the material in the balloon is not elastic so there is no chance of deformation
nor would the temp or density of the air change.

AC

1) Are you assuming the shape to be of a rectangular box?

2) What shape are you discussing here at this point?

Is it to be a spherical shape as certain balloons might be?

Or, are you forcing the shape of a balloon to be a rectangular
box with a given volume (much like a parade balloon shaped
like a box)?

You are maximizing/minimizing the surface areas of what
types of shapes?

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This problem leaves me with too many questions
in regards to its clarity.