Angle Slices and Tilted Cuts

Questions

1. MultiChoice

   Slicing a right circular cylinder at a slanted angle (not parallel or perpendicular to the base) through both side walls produces what shape?

2. MultiChoice

   Slicing a cone at a slight angle to the base, cutting all the way through opposite sides, produces what 2D shape?

3. MultiChoice

   Slicing a cube at a tilted angle through three intersecting faces creates what polygon?

4. MultiChoice

   Slicing a square prism at a slight angle across all four side faces produces what 2D shape?

5. MultiChoice

   What happens to a circular cross-section of a cylinder when the cutting plane is tilted away from horizontal?

6. MultiChoice

   Slicing a cone at an angle parallel to one of its side slopes produces what curve shape?

7. MultiChoice

   Slicing a rectangular prism at an angle that enters the top face and exits a side face forms what shape?

8. MultiChoice

   A tilted cut through a sphere yields what 2D shape?

9. MultiChoice

   Why is any flat slice of a sphere always a circle, regardless of the angle?

10. MultiChoice

    If a cylinder is sliced at a 45-degree angle to its base, the cross-section is an ellipse. Which axis of the ellipse equals the cylinder's diameter?

11. MultiChoice

    A cut through a cube that passes through 5 faces creates a 2D cross-section with how many sides?

12. MultiChoice

    Tilted cuts on prisms can produce polygons with up to how many sides, depending on how many faces the plane intersects?