Cross-Sections of 3D Shapes
Grade 7 · Math · Geometry · Arkansas, USA
Lesson Summary
Identify the two-dimensional shapes formed when a plane slices through a solid.
Explanation
A cross-section is the flat shape you see when you cut straight through a 3D object. Slicing a rectangular prism parallel to its base gives a rectangle. Slicing a cylinder parallel to its base gives a circle, while slicing it vertically gives a rectangle. The shape of the cross-section depends on the angle and direction of the cut. Understanding cross-sections helps you visualize the inside of 3D objects.
Practice Questions
Q1: What shape is the cross-section when you slice a cylinder parallel to its base?
Answer: A circle.
Q2: What shape is the cross-section when you slice a rectangular prism diagonally from one edge to the opposite edge?
Answer: A triangle.
Q3: What shape do you get when you slice a cone parallel to its base?
Answer: A circle (smaller than the base).
People Also Ask
What is Cross-Sections of 3D Shapes in Grade 7 Math?+
Cross-Sections of 3D Shapes is a lesson in the Geometry chapter of Grade 7 Math. It is part of the Arkansas, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Cross-Sections of 3D Shapes?+
Cross-Sections of 3D Shapes is taught in Grade 7 as part of the Math curriculum in Arkansas, USA.
How can I help my child with Geometry in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Geometry topics.