The question I'm currently trying to solve calls for 6 different ways to stack rectangular prisms evenly. So, each outcome must differentiate from one another, in terms of surface area. I was able to come up with 5 different ways, but I'm stuck on the last one.

$L = 19.7 \mathbb{cm}; \ W = 17 \mathbb{cm}; \ H = 12 \mathbb{cm}$

  1. $4784\mathbb{cm}^2$

  2. $4046.8\mathbb{cm}^2$

  3. $4978.4\mathbb{cm}^2$

  4. $4193\mathbb{cm}^2$

  5. $4440.8\mathbb{cm}^2 $

6) ______?

P.S Does anyone know any online drawing tools so I can draw it for you? *I'm stacking 4 rectangular prisms.

  • $\begingroup$ How many prisms are you stacking? $\endgroup$ – najayaz Mar 22 '15 at 6:03
  • $\begingroup$ I fail to see how can you get $1958.60$. The smallest area I get get for stacking two cuboids together is already $2431.40$. $\endgroup$ – achille hui Mar 22 '15 at 6:50
  • $\begingroup$ How can you stalk four prisms at the same time?;) $\endgroup$ – najayaz Mar 22 '15 at 14:05
  • $\begingroup$ G-Man, I'm stacking 4. Achille, Yes, I realize my mistake. I fixed it. G-Man, Hahahahahaha nice one. I'll fix that. :) $\endgroup$ – austrekain Mar 22 '15 at 14:10

I find 3917.2 by stacking them in a square with the 19.7 by 17 and 19.7 by 12 faces touching. You have the other two ways of choosing two pairs of faces to touch.

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