2D Cross Sections By Slicing A Cube (7.G.A.3 CCSS)

7.G.A.3 Discover how to slice a cube with a two-dimensional plane. We sketch some slices and actually use Play-doh to make four polygons.

1. What are the four polygonal cross sections of a cube?

2. How does the number of faces of a cube relate to the types of polygons that can be formed by slicing the cube?

3. The video shows how to form an equilateral triangle. Can you describe how to form an isosceles or scalene triangle?

4. Why is it easier to form an equilateral triangle or square than a regular pentagon or regular hexagon?

5. What tool is used to model the 2D plane in the video?

6. How are the cross sections of any rectangular prism similar or different to the cross sections of a cube?