1. Cross Sections
Cross Sections

2. Parallel Cross Section
Cross Section - triangle
Cross Section - rectangle
base
base
Same shape as the base

3. Perpendicular Cross Section (when you slice through the base)
Cross Section - triangle
Cross Section - rectangle
Same shape as lateral (side) face

4. Cross Sections of a Cylinder
Parallel cut Perpendicular cut
Cross Section - circle
Cross Section - rectangle

5. Cross Section of a Rectangular Pyramid
Cross Section - triangle
Cross Section – square/rectangle

6. Cross Section of a Triangular Prism
Cross Section - rectangle
Cross Section - triangle

7. Let’s use the prism shown below to draw some general conclusions about prisms.
Triangular Prism
When a prism is cut parallel to its base, the cross section will be the shape of the base.
When a prism is cut perpendicular to the base AND GOES THROUGH THE TOP AND BOTTOM, the cross section will be a rectangle.

8. Cylinder Cross Sections

9. Let’s use the cylinder shown below to draw some general conclusions about cylinders.
When a cylinder is cut parallel to its base, the cross section will be the shape of the base.
When a cylinder is cut perpendicular to the base AND GOES THROUGH THE TOP AND BOTTOM, the cross section will be a rectangle.

10. Let’s use the pyramid shown below to draw some general conclusions about pyramids.
Rectangular Pyramid
When a pyramid is cut parallel to its base, the cross section will be the shape of the base.
When a pyramid is cut perpendicular to the base AND GOES THROUGH THE TOP AND BOTTOM, the cross section will be a triangle.

11. 2d
Cylinder
Cone
Rectangular Pyramid
Triangular Prism

12. Diagonal Cross Sections
Cross Section - rectangle
Cross Section - hexagon
Cross Section - pentagon

13. Cross Sections of a Cone
Perpendicular
to base
Parallel to base
Diagonal
to base
Cross Section - triangle

14. Cross Sections of a Sphere
Cross Section - circle

15. Name the cross section formed when the square pyramid is cut by a vertical plane that does not pass through the vertex at its top.
pyramid is

16. Name the 2d shape resulting from each cross section below.
(Parallel to the base)
(Perpendicular to the base)

17. Name each cross section.1. 2. 3. 3.
Circle
Circle
Triangle

18. Name each cross section.1. 3. 2.
Triangle
Rectangle
Triangle 4. 6. 5.
Triangle
Square

19. Other Types of Cross Sections

20. Cross Sections Practice
Name the cross section.
Circle
Triangle
Triangle
Trapezoid
Rectangle
Ellipse
Circle
Rectangle

21. youtube video cross sections of a cube
Cross Sections of a Cube Interactive