Slicing Composite 3D Figures Exercise

Slicing Composite 3D Figures

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Slicing Composite 3D Figures

Analyze the resulting cross-sections when making cuts through composite three-dimensional figures built from multiple shapes.

Questions

  1. MultiChoice

    A composite solid consists of a cylinder with a cone on top. A horizontal slice through the upper portion produces what shape?

  2. MultiChoice

    A composite solid consists of a cylinder with a cone on top. A vertical slice through the center of both parts produces what 2D shape?

  3. MultiChoice

    A composite solid consists of a cube with a square pyramid on top. A horizontal slice through the bottom cube produces what shape?

  4. MultiChoice

    A composite solid consists of a cube with a square pyramid on top. A horizontal slice through the pyramid portion produces what shape?

  5. MultiChoice

    An ice cream cone model consists of a cone with a hemisphere on top. A horizontal slice through the hemisphere section produces a:

  6. MultiChoice

    An ice cream cone model is cut vertically straight down through the center apex. The cross-section of the top hemisphere part combined with the cone is:

  7. MultiChoice

    A silo structure is a cylinder topped by a hemisphere. A horizontal slice through the cylindrical section gives a:

  8. MultiChoice

    A structure is made of two identical cubes stacked vertically. A vertical slice through both cubes parallel to a front face gives:

  9. MultiChoice

    Two congruent square pyramids are joined at their bases (octahedron). A horizontal slice right through the joined base produces a:

  10. MultiChoice

    A wooden block is a rectangular prism with a cylindrical hole drilled vertically through the center. A horizontal cross-section looks like:

  11. MultiChoice

    A wooden block has a cylindrical hole through it. A vertical slice passing through the center of the cylindrical hole yields:

  12. MultiChoice

    A hemisphere sits on top of a cylinder of the same radius. A vertical slice through the central axis produces a 2D shape made of: