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Open Middle: Maximizing Rectangular Prism Surface Area

Author:Tim Brzezinski

Creation of this resource was inspired by this Open Middle problem from Robert Kaplinsky.

Creation of this resource was inspired by this Open Middle problem from Robert Kaplinsky.
Source: Open Middle by Robert Kaplinsky

Enter any digit ranging from 1 - 9 in the boxes below. Once all digits are filled, go explore!

What did you find for a maximum possible surface area? Show below. Also, explain your logic as to why you chose the digits you chose.

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