Cross-Sections of 3D Figures - Grade 7 Learning path

Cross-Sections of 3D Figures - Grade 7

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MathGrade 7American curriculumgeometry3D figures
Cross-Sections of 3D Figures - Grade 7

Learn how slicing various three-dimensional figures creates two-dimensional cross-sections. This grade 7 topic covers parallel, perpendicular, tilted, and diagonal cuts across prisms, pyramids, cylinders, cones, spheres, and composite solids.

Exercises in this learning path

15 exercises
  1. 1

    Parallel Cross-Sections of Prisms and Pyramids

    Explore the two-dimensional shapes formed when slicing prisms and pyramids parallel to their bases.

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  2. 2

    Perpendicular Cross-Sections of Prisms and Pyramids

    Examine the cross-sections resulting from cuts made perpendicular to the bases of prisms and pyramids.

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  3. 3

    Cross-Sections of Cylinders and Cones

    Identify and analyze the different two-dimensional shapes created by slicing cylinders and cones.

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  4. 4

    Cross-Sections of Spheres and Hemispheres

    Discover the two-dimensional cross-sectional shapes produced by slicing spheres and hemispheres at various positions.

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  5. 5

    Diagonal Slices of Cubes and Rectangular Prisms

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

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  6. 6

    Cross-Sections of Triangular Prisms and Pyramids

    Practice determining the shapes created by slicing triangular prisms and triangular pyramids.

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  7. 7

    Identifying 3D Solids from Given Cross-Sections

    Use given two-dimensional cross-sectional shapes to determine and identify the corresponding three-dimensional solid.

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  8. 8

    Slicing Composite 3D Figures

    Analyze the resulting cross-sections when making cuts through composite three-dimensional figures built from multiple shapes.

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  9. 9

    Angle Slices and Tilted Cuts

    Investigate how tilted cuts and angled slices change the shape of cross-sections in three-dimensional figures.

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  10. 10

    Symmetries and Dimensions of Cross-Sections

    Examine the symmetry properties and geometric dimensions of various two-dimensional cross-sections.

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  11. 11

    Real-World Applications of Cross-Sections

    Explore practical, real-world scenarios where slicing three-dimensional objects and understanding cross-sections are applied.

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  12. 12

    Comparing Horizontal vs Vertical Cross-Sections

    Compare the differences and similarities between horizontal and vertical cross-sections of various three-dimensional solids.

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  13. 13

    Cross-Sections of Regular Polygonal Prisms

    Practice finding the cross-sectional shapes formed by making various cuts through regular polygonal prisms.

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  14. 14

    Cross-Sections of Cones and Frustums

    Analyze the two-dimensional shapes created by slicing full cones and truncated cones known as frustums.

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  15. 15

    Cross-Sections Challenge and Comprehensive Review

    Test your understanding of cross-sections across various 3D figures with challenging problems and a comprehensive review.

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