A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

muscrat123

  • one year ago

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)

  • This Question is Closed
  1. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @nerlineg

  2. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @TheSmartOne

  3. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @pooja195 @Hero

  4. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    its just a regular rectangular prism

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait ! um... hold

  6. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i dont know how to explain

  7. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1436230395747:dw|

  8. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1436230455539:dw|

  9. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1436230548891:dw|

  10. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how do i explain

  11. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1436230576483:dw|

  12. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

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

  13. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1436230638043:dw|

  14. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @nerlineg

  15. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh

  16. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    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

  17. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1436230950193:dw|

  18. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok thanks @jim_thompson5910

  19. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    no problem

  20. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what about part b?

  21. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @jim_thompson5910

  22. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

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

  23. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    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)

  24. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    isnt it a triangle?

  25. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

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

  26. muscrat123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok. i still dont understand why

  27. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    because a rectangle prism all sides are congruent.

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  29. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

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

  30. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

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