It depends on how you cut it. It might be a frustrum, it might be a (somewhat differently shaped) pyramid, or it might be a wedge.
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You will get a rectangular prisim
a circle
it depends in what shape the diamond is cut Another Answer As a raw stone, a diamond can be shaped like a pyramid, or two pyramids joined at the base. Can you count the corners in the two-pyramid example?
when you cut a pentagon in half you create a trapizoid
yes, because if you cut the rectangle in half it would make 2 squares