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What is the minimum surface area of a rectangular prism with a volume of 437cm3?

 Jun 7, 2021
 #1
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I believe  that  the  surface  area  is minimized when all three dimensions  are equal

 

So

 

s^3  =  437

 

s = (437)^(1/3)     where s  is  any dimension  of the  prism

 

The minimum  surface  area  is

 

6  [ (437)^((1/3) * (437)^(1/3)  ]   ≈  345.52 cm^2

 

 

cool cool cool

 Jun 7, 2021

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