SOLUTION: You are given one scrapbook page (12 inches by 12 inches). With only this for your material, you must create a container that will maximize volume while minimizing the total area.

Question 449938: You are given one scrapbook page (12 inches by 12 inches). With only this for your material, you must create a container
that will maximize volume while minimizing the total area.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I think the answer might be to cut 4 x 4 inch squares out of each corner.
If you then fold the sides up, you have a 4 x 4 x 4 box open on top.
the volume is in3
The area is in2
----------------------------
Call the squares cut out of the corners
The surface area is then in2
The volume is then
-----------------------------------
Suppose I removed 3.99 x 3.99 in2 from each corner

and

Both volume and area went up.
Now try
If either volume goes down or area goes up,
my guess is right
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