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its just a regular rectangular prism
wait ! um... hold
i dont know how to explain
how do i explain
i already know it is a rectangle i just dont know how to explain how it is a rectangle
as dan815 has shown, if you cut along any line parallel to the base, you'll basically get 2 prisms. These two prisms will have the same bases: a rectangle that is congruent to the base of the original prism. So that's why the cross section is the same as the base
ok thanks @jim_thompson5910
what about part b?
the other drawing dan posted shows what you get |dw:1436231243830:dw|
if you cut a line that is perpendicular to the base, then the cross section will look like one of the lateral faces (it will depend how you cut)
isnt it a triangle?
no, it's also a rectangle (see the drawing)
ok. i still dont understand why
because a rectangle prism all sides are congruent.
no matter how you cute it. the other side will be the same
imagine you are cutting that big block into 2 pieces |dw:1436231405243:dw|
The cross section is this shaded portion |dw:1436231502495:dw|
the original prism has congruent opposite lateral faces the same applies for each smaller prism when we cut the original prism into 2 pieces