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Cross sections

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The document discusses cross sections of 3D figures. It explains that when a 3D figure like a cube or sphere is cut in half, the cross section forms a 2D shape like a square or circle. For a cone with a radius of 8cm and height of 13cm, the cross section cut through the center forms a triangle with a base of 16cm, the diameter of the circle, and a height of 13cm. The area of the triangle is calculated as 104cm2.

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In 3-D figures
When you cut a 3-D figure straight in half it is a cross section. When you cut a cube in half, you get a square. Here is a sphere in half. What is its cross section? Imagesource.com
Given a cone with a radius of 8cm and a height of 13cm, find the triangle formed by a perpendicular cross-section through the cones center. For many of you a visual is most helpful
You see how in the picture the triangle cuts the entire circle in half? So do you need the radius or diameter? The diameter! Since the radius is 8 the diameter is 16. This is also the base of the triangle. The triangles height is 13. = 1 2 = 1 2 16 13 = 1042
http://www.okphysics.com/5-116-electric-flux-over-a-right-circular-cone/

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Cross sections

  • 2. When you cut a 3-D figure straight in half it is a cross section. When you cut a cube in half, you get a square. Here is a sphere in half. What is its cross section? Imagesource.com
  • 3. Given a cone with a radius of 8cm and a height of 13cm, find the triangle formed by a perpendicular cross-section through the cones center. For many of you a visual is most helpful
  • 4. You see how in the picture the triangle cuts the entire circle in half? So do you need the radius or diameter? The diameter! Since the radius is 8 the diameter is 16. This is also the base of the triangle. The triangles height is 13. = 1 2 = 1 2 16 13 = 1042