An image of a prism is shown below: A right rectangular prism is shown. Part A: A cross section of the prism is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points) Part B: If a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points)

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An image of a prism is shown below: A right rectangular prism is shown. Part A: A cross section of the prism is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points) Part B: If a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points)

Mathematics
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Other answers:

its just a regular rectangular prism
wait ! um... hold
i dont know how to explain
|dw:1436230395747:dw|
|dw:1436230455539:dw|
|dw:1436230548891:dw|
how do i explain
|dw:1436230576483:dw|
i already know it is a rectangle i just dont know how to explain how it is a rectangle
|dw:1436230638043:dw|
oh
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
|dw:1436230950193:dw|
ok thanks @jim_thompson5910
no problem
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
ok. thx!
sure thing

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