We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

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.

 Feb 3, 2019

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



cool cool cool

 Feb 3, 2019

The question specifies integer dimensions.


Basically you want as close to a cube as possible given integer dimensions that give a volume of 36.


4x3x3 is as close as you get.

Rom  Feb 3, 2019

15 Online Users