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Perpendicular cuts through geometric solids demonstrating cross-sectional shapes.

Diagram illustrating perpendicular cuts through various 3D geometric shapes including a cone, cylinder, pyramid, and cube, with labeled dimensions and cross-sections.

Diagram illustrating perpendicular cuts through various 3D geometric shapes including a cone, cylinder, pyramid, and cube, with labeled dimensions and cross-sections.

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Show Answer Key & Explanations Step-by-step solution for: Determining Cross Sections of 3D Shapes
- The image displays several 3D geometric shapes being intersected by planes, demonstrating the concept of "Perpendicular Cuts".
- A cone is shown with a vertical plane cutting through it, passing through its apex and the center of its circular base. This cut creates a triangular cross-section.
- The label "9 in" indicates the radius of the cone's base.
- The height of the cone is marked with a double-headed arrow, but no numerical value is given for it.
- Other shapes shown include a cylinder, a triangular prism, a hexagonal prism, a square pyramid, and a tetrahedron, each being cut by one or more planes to illustrate different cross-sections.
- The cuts are perpendicular to the base or a face of the solid, as indicated by the title.
- The resulting 2D shapes from these cuts (like triangles, rectangles, or polygons) are the cross-sections of the original 3D solids.
Parent Tip: Review the logic above to help your child master the concept of geometry cross sections worksheet.
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