A rectangular prism is being designed to have a volume of 36 cubic units. Find the minimum surface area in square units for the prism if the edge lengths are positive integers.
I remember having such a problem in my Calculus class, but I've slept since then and I don't remember the procedure for solving it....however.....I believe the surface area is minimized when each dimension is = ∛36 units
So...the minimum surface area is
2 [ (∛36)^2 + (∛36)^2 + (∛36)^2 ] ≈ 65.416 units^2
Maybe someone else on here knows the procedure