muscrat123
  • muscrat123
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
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
muscrat123
  • muscrat123
@nerlineg
muscrat123
  • muscrat123
@TheSmartOne
muscrat123
  • muscrat123
@pooja195 @Hero

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

muscrat123
  • muscrat123
its just a regular rectangular prism
anonymous
  • anonymous
wait ! um... hold
muscrat123
  • muscrat123
i dont know how to explain
dan815
  • dan815
|dw:1436230395747:dw|
dan815
  • dan815
|dw:1436230455539:dw|
dan815
  • dan815
|dw:1436230548891:dw|
muscrat123
  • muscrat123
how do i explain
dan815
  • dan815
|dw:1436230576483:dw|
muscrat123
  • muscrat123
i already know it is a rectangle i just dont know how to explain how it is a rectangle
dan815
  • dan815
|dw:1436230638043:dw|
muscrat123
  • muscrat123
@nerlineg
muscrat123
  • muscrat123
oh
jim_thompson5910
  • 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
  • jim_thompson5910
|dw:1436230950193:dw|
muscrat123
  • muscrat123
ok thanks @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
no problem
muscrat123
  • muscrat123
what about part b?
muscrat123
  • muscrat123
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
the other drawing dan posted shows what you get |dw:1436231243830:dw|
jim_thompson5910
  • 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
  • muscrat123
isnt it a triangle?
jim_thompson5910
  • jim_thompson5910
no, it's also a rectangle (see the drawing)
muscrat123
  • muscrat123
ok. i still dont understand why
anonymous
  • anonymous
because a rectangle prism all sides are congruent.
anonymous
  • anonymous
no matter how you cute it. the other side will be the same
jim_thompson5910
  • jim_thompson5910
imagine you are cutting that big block into 2 pieces |dw:1436231405243:dw|
jim_thompson5910
  • jim_thompson5910
The cross section is this shaded portion |dw:1436231502495:dw|
jim_thompson5910
  • 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
  • muscrat123
ok. thx!
jim_thompson5910
  • jim_thompson5910
sure thing

Looking for something else?

Not the answer you are looking for? Search for more explanations.