What is the minimum surface area of a rectangular prism with a volume of 437cm3?
I believe that the surface area is minimized when all three dimensions are equal
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