# Cross Sections Parallel Cross Section triangle base Cross

Cross Sections

Parallel Cross Section triangle base Cross Section rectangle base Same shape as the base

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

Cross Sections of a Cylinder Parallel cut Perpendicular cut Cross Section circle Cross Section rectangle

Cross Section of a Rectangular Pyramid Cross Section triangle Cross Section – square/rectangle

Cross Section of a Triangular Prism Cross Section triangle Cross Section rectangle

Let’s use the prism shown below to draw some general conclusions about prisms. Triangular Prism 1. When a prism is cut parallel to its base, the cross section will be the shape of the base. 2. When a prism is cut perpendicular to the base AND GOES THROUGH THE TOP AND BOTTOM, the cross section will be a rectangle.

Cylinder Cross Sections

Let’s use the cylinder shown below to draw some general conclusions about cylinders. Cylinder 1. When a cylinder is cut parallel to its base, the cross section will be the shape of the base. 2. When a cylinder is cut perpendicular to the base AND GOES THROUGH THE TOP AND BOTTOM, the cross section will be a rectangle.

Let’s use the pyramid shown below to draw some general conclusions about pyramids. Rectangular Pyramid 1. When a pyramid is cut parallel to its base, the cross section will be the shape of the base. 2. When a pyramid is cut perpendicular to the base AND GOES THROUGH THE TOP AND BOTTOM, the cross section will be a triangle.

2 d Cone Rectangular Pyramid Cylinder Triangular Prism

Diagonal Cross Sections Cross Section pentagon Cross Section rectangle Cross Section hexagon

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

Cross Sections of a Sphere Cross Section circle

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.

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

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

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

Other Types of Cross Sections

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

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

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