SOLUTION: a regular hexagonal prism is made up of six equilateral triangular prisms. If two adjacent triangular prisms are removed find the total surface area of the remaining parts of the h

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Question 1036922: a regular hexagonal prism is made up of six equilateral triangular prisms. If two adjacent triangular prisms are removed find the total surface area of the remaining parts of the hexagonal prism whose base side is 6 and height is 27.
So the answer is 72√3 + 972 but I have no idea how you get the answer.
I figured out that the area of the hexagonal prism is 972 + 108√3 but after that I'm stuck.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
I get the same area for the hexagonal prism




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By removing 2 adjacent triangular prisms,
The first obvious thing is you remove 2 of
the rectangular faces, so you have:

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You have created 2 new areas internal to the hexagonal
prism. Each one has an area of
So, now you have:

Now you are back to

--------------------
You have also lost of both
top and bottom surfaces,
surfaces.
Now you have:




answer
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Check my math and ( if you can ) get a 2nd
opinion. This is a visualization problem,
which I can mess up easily

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