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Video Definition 13--3D Geometry--Horizontal Cross-Section of a Cube

Horizontal Cross-Section of a Cube

Topic

3D Geometry

Definition

A horizontal cross-section of a cube is the intersection of the cube with a horizontal plane, resulting in a square.

Description

Horizontal cross-sections of a cube are useful for understanding the internal structure of three-dimensional shapes. By slicing a cube horizontally, a square is obtained, which helps visualize the relationship between 2D and 3D geometry. This concept is widely used in engineering and architecture to analyze the internal features of structures. In math education, studying cross-sections helps students understand how different planes intersect with solids, enhancing their spatial reasoning skills. For example, a horizontal cross-section of a cube at its midpoint results in a square that is the same size as the cube's base.

Horizontal Cross-Section of a Cube
Think of the floors of this cube-shaped building 
as the horizontal cross-sections of a cube.

For a complete collection of terms related to 3D Geometry click on this link: 3D Geometry Video Collection.

Common Core Standards CCSS.MATH.CONTENT.5.MD.C.3, CCSS.MATH.CONTENT.7.G.A.3
Duration 1 minutes
Grade Range 4 - 6
Curriculum Nodes Geometry
    • 3D Geometry
        • 3-Dimensional Figures
Copyright Year 2024
Keywords three-dimensional geometry, 3d Geometry, defnitions, glossary term