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anonymous

  • one year ago

Which of the following solids could have the slant cross section shown above? A. sphere B. cube C. cone D. triangular prism

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @Hero please! help

  3. anonymous
    • one year ago
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    @nincompoop please

  4. mathstudent55
    • one year ago
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    Notice the bottom of the shape has a straight line. Can you intersect a sphere with a plane in any way that it will have a straight line edge?

  5. anonymous
    • one year ago
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    no..

  6. anonymous
    • one year ago
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    i dont think

  7. mathstudent55
    • one year ago
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    Correct. A is eliminated.

  8. anonymous
    • one year ago
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    it's not a cone either right?

  9. mathstudent55
    • one year ago
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    All the edges of a cube are segments, and all the faces are flat planes. Can you have a plane intersect a cube in any way and produce curved lines?

  10. mathstudent55
    • one year ago
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    Correct. Eliminate B.

  11. anonymous
    • one year ago
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    no.

  12. anonymous
    • one year ago
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    so is it a cone?

  13. mathstudent55
    • one year ago
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    Let's skip to D. A triangular prism has triangles for faces and line segments for edges. It's all straight and flat. So it's the same as the cube. An intersection with a plane cannot produce the parabola-shaped curve in the yellow figure.

  14. mathstudent55
    • one year ago
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    That eliminates D. You are left with C, a cone.

  15. anonymous
    • one year ago
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    so it's a cone.

  16. anonymous
    • one year ago
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    thank you!!!

  17. mathstudent55
    • one year ago
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    You're welcome. I'm trying to draw it for you now.

  18. mathstudent55
    • one year ago
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    |dw:1439246251698:dw|

  19. mathstudent55
    • one year ago
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    Sorry the drawing is bad.

  20. anonymous
    • one year ago
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    its ok thank you.

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spraguer (Moderator)
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