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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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