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)

- muscrat123

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- muscrat123

@nerlineg

- muscrat123

@TheSmartOne

- muscrat123

@pooja195 @Hero

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## More answers

- muscrat123

its just a regular rectangular prism

- anonymous

wait ! um... hold

- muscrat123

i dont know how to explain

- dan815

|dw:1436230395747:dw|

- dan815

|dw:1436230455539:dw|

- dan815

|dw:1436230548891:dw|

- muscrat123

how do i explain

- dan815

|dw:1436230576483:dw|

- muscrat123

i already know it is a rectangle i just dont know how to explain how it is a rectangle

- dan815

|dw:1436230638043:dw|

- muscrat123

@nerlineg

- muscrat123

oh

- jim_thompson5910

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

- jim_thompson5910

|dw:1436230950193:dw|

- muscrat123

ok thanks @jim_thompson5910

- jim_thompson5910

no problem

- muscrat123

what about part b?

- muscrat123

@jim_thompson5910

- jim_thompson5910

the other drawing dan posted shows what you get
|dw:1436231243830:dw|

- jim_thompson5910

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)

- muscrat123

isnt it a triangle?

- jim_thompson5910

no, it's also a rectangle (see the drawing)

- muscrat123

ok. i still dont understand why

- anonymous

because a rectangle prism all sides are congruent.

- anonymous

no matter how you cute it. the other side will be the same

- jim_thompson5910

imagine you are cutting that big block into 2 pieces
|dw:1436231405243:dw|

- jim_thompson5910

The cross section is this shaded portion
|dw:1436231502495:dw|

- jim_thompson5910

the original prism has congruent opposite lateral faces
the same applies for each smaller prism when we cut the original prism into 2 pieces

- muscrat123

ok. thx!

- jim_thompson5910

sure thing

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