Posted by Anonymous on Wednesday, June 13, 2012 at 9:47pm.
In most cases, when finding the surface area such as your shape, we find the surface area of only the exposed surfaces, so the top of the cube and the base of the pyramid would not be included at all.
I would find the 5 visible sides of the cube + the 4 isosceles triangle of the pyramid.
But, that may just be my opinion , I would check with your teacher.
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