SOLUTION: A solid rectangular prism has a length of 12cm, a height of 6 cm and a width of 4 cm. The prism is painted red. The prism is then cut into cubes with side length 2cm. How

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Question 1089959: A solid rectangular prism has a length of 12cm, a height of 6 cm and a width of 4 cm.
The prism is painted red.
The prism is then cut into cubes with side length 2cm.
How many cubes have exactly once face painted red?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So in terms of cubes the prism is 6 cubes high, 3 cubes wide, 2 cubes deep.
That's a total of 6%2A3%2A2=36 cubes.
The eight corner cubes (C) have three sides painted.
The twenty edge cubes (E) have two sides painted.
The eight inner cubes (I) have one side painted.
8%2B20%2B8=36 so all cubes are accounted.
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