Cross-Sections of Cones and Frustums Exercise

Cross-Sections of Cones and Frustums

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Cross-Sections of Cones and Frustums

Analyze the two-dimensional shapes created by slicing full cones and truncated cones known as frustums.

Questions

  1. MultiChoice

    If a cone is cut by a plane parallel to its base, removing the top smaller cone leaves a shape called a frustum. What is the top surface of the frustum?

  2. MultiChoice

    What 2D shape is the bottom base of a cone frustum?

  3. MultiChoice

    Slicing a cone frustum parallel to its bases produces what 2D shape?

  4. MultiChoice

    Slicing a cone frustum vertically straight through the center axis produces what 2D shape?

  5. MultiChoice

    Slicing a square pyramid frustum parallel to its base yields what 2D shape?

  6. MultiChoice

    Slicing a square pyramid frustum vertically through the center produces what 2D shape?

  7. MultiChoice

    How do the top and bottom circular boundaries of a cone frustum compare in size?

  8. MultiChoice

    A vertical cut through a cone that passes through the apex produces a triangle. A vertical cut through a cone frustum produces a:

  9. MultiChoice

    If you cut a cone parallel to its base at 1/3 of its height from the apex, the cross-section circle radius is what fraction of the base radius?

  10. MultiChoice

    A frustum of a cone has a top radius of 3 cm and bottom radius of 7 cm. Any horizontal cross-section between them has a radius between:

  11. MultiChoice

    Slicing a cone horizontally right at the apex gives what geometric object?

  12. MultiChoice

    What 2D shape is created by slicing a cone frustum at a slight angle that enters and exits through its side walls?