Maintenance Sheet 18 due Friday Study Island * one question per concept BELLRINGER

Comprehensive Test 6.5

G3: I can determine all possible cross-sections of a solid. http://bit.do/cross3d2 Finish? http://tinyurl.com/hk4cvvk

Cross Sections Cross Sections

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

Perpendicular Cross Section (when you slice through the base) Cross Section - triangle Cross Section - rectangle 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 - rectangle Cross Section - triangle

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.

Cylinder Cross Sections

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.

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.

2d Cylinder Cone Rectangular Pyramid Triangular Prism

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

Cross Sections of a Cone Perpendicular to base Parallel 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. pyramid is

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

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

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

Other Types of Cross Sections

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