Cross-Sections of Triangular Prisms and Pyramids Exercise

Cross-Sections of Triangular Prisms and Pyramids

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Cross-Sections of Triangular Prisms and Pyramids

Practice determining the shapes created by slicing triangular prisms and triangular pyramids.

Questions

  1. MultiChoice

    A triangular prism has equilateral triangles as bases. Slicing parallel to the base gives a triangle. Are all such slices identical in size?

  2. MultiChoice

    A triangular pyramid (tetrahedron) is cut parallel to its base. The cross-section is:

  3. MultiChoice

    Slicing a triangular prism parallel to one of its rectangular side faces gives what shape?

  4. MultiChoice

    Slicing a triangular prism vertically through its apex (top ridge) to the bottom base yields a:

  5. MultiChoice

    Slicing a triangular pyramid with a plane parallel to the base near the top apex produces a triangle that is:

  6. MultiChoice

    A triangular prism is sliced diagonally through two side faces and the base. What 2D shape can be formed?

  7. MultiChoice

    How many sides does the cross-section have if a slice cuts through all 5 faces of a triangular prism?

  8. MultiChoice

    If a right triangular prism is sliced perpendicular to its triangular bases, the cross-section is always a:

  9. MultiChoice

    A triangular pyramid is sliced by a plane parallel to its base. What geometric relationship exists between the base and cross-section?

  10. MultiChoice

    Slicing off one vertex of a triangular pyramid produces a cross-section of what shape?

  11. MultiChoice

    If a triangular prism is sliced parallel to its triangular base, what is the perimeter of the cross-section compared to the base?

  12. MultiChoice

    What cross-section is formed when a plane cuts through 4 faces of a triangular pyramid?