Grade 12 Cross Sections Worksheet
Explore cross sections of various 3D geometric shapes with this Grade 12 math worksheet, covering properties and resulting 2D figures.
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Grade 12 Cross Sections Worksheet
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Read each question carefully and answer to the best of your ability. For questions involving diagrams, visualize the cross section described.
1. What shape is formed by a cross section of a right circular cone taken parallel to its base?
Triangle
Ellipse
Circle
Parabola
2. A plane slices through a cube. Which of the following shapes CANNOT be a cross section of a cube?
Triangle
Pentagon
Hexagon
Circle
3. A cross section of a sphere is always a .
4. When a plane slices a cylinder parallel to its axis, the cross section is a .
5. Describe the cross section formed when a plane intersects a triangular prism parallel to its base.
6. A square pyramid is intersected by a plane perpendicular to its base and passing through its apex. What is the shape of the cross section?
7. Consider the 3D cube shown below. If a plane passes through the midpoints of three adjacent edges that meet at one vertex, what is the shape of the resulting cross section?
8. Draw a diagram of a cylinder and sketch a cross section that forms an ellipse.