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Jessica has one cube with a side length of $1,$ and another cube with a side length of $1.$  She then glues the two cubes together, to form one single solid.  What is the smallest possible surface area of the single solid?

 Dec 26, 2023
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Jessica has one cube with a side length of $1,$ and another cube with a side length of $1.$  She then glues the two cubes together, to form one single solid.  What is the smallest possible surface area of the single solid?  

 

Each cube will have a surface area of 6 square units, for a total of 12 square units.  

 

When Jessica sticks them together, she lost two surfaces because they're on the inside now.  

 

So the remaining surface area is 10 square units.  

 Dec 26, 2023

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