Slicing 3D Figures Worksheet
Explore the cross-sections of various three-dimensional figures with this Grade 12 Geometry worksheet.
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Slicing 3D Figures
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Read each question carefully and determine the shape of the cross-section formed when a plane intersects the given 3D figure as described. Draw the cross-section where indicated and provide a brief explanation.
1. A cube is sliced by a plane that passes through three vertices that are not on the same face. What shape is the cross-section?
2. A cylinder is sliced by a plane parallel to its base. What shape is the cross-section? Draw the cross-section.
3. When a cone is sliced by a plane perpendicular to its base and passing through its apex, what shape is the cross-section?
Circle
Ellipse
Triangle
Parabola
4. A sphere sliced by any plane will always result in a cross-section.
5. It is possible to obtain a rectangular cross-section by slicing a regular triangular prism.
True
False
6. Describe how a plane can intersect a square pyramid to form a trapezoidal cross-section.