anonymous
  • anonymous
Which of the following solids could have the slant cross section shown above? A. sphere B. cube C. cone D. triangular prism
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
@Hero please! help
anonymous
  • anonymous
@nincompoop please

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mathstudent55
  • mathstudent55
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?
anonymous
  • anonymous
no..
anonymous
  • anonymous
i dont think
mathstudent55
  • mathstudent55
Correct. A is eliminated.
anonymous
  • anonymous
it's not a cone either right?
mathstudent55
  • mathstudent55
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?
mathstudent55
  • mathstudent55
Correct. Eliminate B.
anonymous
  • anonymous
no.
anonymous
  • anonymous
so is it a cone?
mathstudent55
  • mathstudent55
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.
mathstudent55
  • mathstudent55
That eliminates D. You are left with C, a cone.
anonymous
  • anonymous
so it's a cone.
anonymous
  • anonymous
thank you!!!
mathstudent55
  • mathstudent55
You're welcome. I'm trying to draw it for you now.
mathstudent55
  • mathstudent55
|dw:1439246251698:dw|
mathstudent55
  • mathstudent55
Sorry the drawing is bad.
anonymous
  • anonymous
its ok thank you.

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