Slicing 3D Figures Worksheet
Explore how different planes intersect with 3D figures to create 2D cross-sections.
Includes
Standards
Topics
Slicing 3D Figures
Name:
Date:
Score:
Read each question carefully and determine the 2D cross-section formed when a plane slices through the 3D figure. Sketch the cross-section where indicated.
1. What 2D shape is formed when a rectangular prism is sliced parallel to its base?
Triangle
Rectangle
Circle
Square
2. If a cone is sliced by a plane perpendicular to its base, passing through its apex, what shape is the cross-section?
Circle
Ellipse
Triangle
Parabola
3. Consider a cube with side length 5 cm. If a plane slices the cube diagonally through opposite vertices, what 2D shape is formed? What are its approximate dimensions?
4. Describe the cross-section formed when a sphere is sliced by a plane. Does the size of the cross-section change based on where the plane intersects the sphere? Explain your reasoning.
5. A plane slicing a cylinder parallel to its base will always produce a cross-section.
6. When a plane slices a square pyramid through its apex and perpendicular to its base, the cross-section will be a .
7. A cross-section of a triangular prism can be a rectangle.
True
False
8. It is possible to slice a cylinder to get a rectangular cross-section.
True
False
9. Sketch the cross-section formed when a plane slices the cylinder vertically through its center.
10. Sketch the cross-section formed when a plane slices a square pyramid parallel to its base.
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.
Grade 9 Math: Geometric Translations
A worksheet covering geometric translations on the coordinate plane for Grade 9 students, including identifying translations, applying translation rules, and determining translation vectors.
Corresponding Parts in Geometry
Grade 9 worksheet on identifying and using corresponding parts of congruent figures, including triangles and polygons.
Midsegment of a Trapezoid Worksheet
This worksheet focuses on understanding and applying the midsegment theorem for trapezoids, including calculating lengths and solving for unknown variables.
Grade 9 Geometric Constructions Worksheet
A Grade 9 math worksheet focusing on geometric constructions using a compass and straightedge, covering bisectors, perpendiculars, and angles.
Finding Quadrant of an Angle
Identify the quadrant of angles in standard position and understand angle measurement in a coordinate plane.