Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms, right rectangular pyramids, cylinders, cones, and spheres.
Cross Sections A slice of any 3 dimensional figure with a plane creates a __________ Cross sections are either taken ______________ or ____________ to the base, but they can also be taken at a_____________. Cross Section Parallel Perpendicular Diagonal
Types of Cross Sections: If a shape is cut parallel, then the cross section looks just like the base. (Think a stack of cheese or a stack of CDs) If a shape is cut perpendicular to the base, then the cross section looks just like the lateral face. If the shape is cut diagonally, the cross section looks like a stretched out base.
Parallel Cross Section Same Shape as the base base base Cross Section Cross Section
Perpendicular Cross Section Same shape as lateral face
Cross Sections of a Cylinder: Parallel cut Perpendicular cut
Cross Section of a Rectangular Pyramid
Cross Section of a Triangular Prism
Cross Section of a Hexagonal/Pentagonal Prism
Cross Sections of a Cone
Cross Sections of a Sphere
Draw the 2-D Cross section for each 3-D Figure Shape Vertical Cross Section Horizontal Cross Section Diagonal Cross Section
Shape Vertical Cross Section Horizontal Cross Section Diagonal Cross Section