Analyze 3D Cubes
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QUESTION
What is the exposed face count of a solid
a
×
b
×
c
a\times b\times c
a
×
b
×
c
rectangular prism of unit cubes?
QUESTION
What is the number of exposed faces on a cube with exactly 3 faces glued to other cubes?
QUESTION
What formula gives exposed faces for one cube with
k
k
k
glued faces (shared faces)?
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ANSWER
$6-k$. Each glued face reduces the exposed count by one from the initial six surfaces of a cube.
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