Diagonal Slices of Cubes and Rectangular Prisms Exercise

Diagonal Slices of Cubes and Rectangular Prisms

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Diagonal Slices of Cubes and Rectangular Prisms

Study the two-dimensional shapes formed when cutting cubes and rectangular prisms along diagonal angles.

Questions

  1. MultiChoice

    If a cube is sliced diagonally through two opposite vertical edges, what 2D shape is created?

  2. MultiChoice

    Slicing off a corner of a cube produces what 2D shape cross-section?

  3. MultiChoice

    What 2D shape is formed when a plane slices a cube through 3 adjacent vertices?

  4. MultiChoice

    If a cube is cut by a plane passing diagonally through 4 vertices, the cross-section is a:

  5. MultiChoice

    Slicing a rectangular prism diagonally from a top edge to the opposite bottom edge creates what 2D shape?

  6. MultiChoice

    Can a cross-section of a cube ever be a regular hexagon?

  7. MultiChoice

    Slicing off a corner of a rectangular prism with an angled cut creates a shape with how many sides?

  8. MultiChoice

    What 2D shape is formed by an angled slice that cuts through all 4 vertical faces of a rectangular prism without touching the bases?

  9. MultiChoice

    If a cube of side length 5 cm is cut diagonally through opposite parallel edges, the width of the rectangular cross-section is:

  10. MultiChoice

    Slicing a square pyramid from the apex diagonally down to one corner of the base produces a 2D shape with how many sides?

  11. MultiChoice

    Cut a cube parallel to one face. The cross-section is a square. Cut it slightly tilted to that face. The cross-section becomes a:

  12. MultiChoice

    Which of the following non-four-sided shapes CAN be formed by a plane slicing through a cube?