Cross Section Shapes
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Describing the cross section identifying the 2d shaped slice and drawing the cross section are some exercises included here.
Cross section shapes. It makes math more real and not just a list of steps. This flyer is amazing for doing just that. Relate common 3d solids with their 2d cross sections taken parallel perpendicular and diagonal relative to the base.
It is like a view into the inside of something made by cutting through it. The conic sections circles ellipses parabolas and hyperbolas are plane sections of a cone with the cutting planes at various different angles as seen in the diagram at left. A cross section of a polyhedron is a polygon.
Any cross section of the sphere is a circle the vertical cross section of a cone is a triangle and the horizontal cross section is a circle the vertical cross section of a cylinder is a rectangle and the horizontal cross section is a circle. The cross section of this object is a triangle. Rotating 2d shapes in 3d.
This is a cross section of a piece of celery. Any cross section passing through the center of an ellipsoid forms an elliptic region while the corresponding plane sections are ellipses on its surface. Also they can change the base and move the cross section around.
Depending on the position and direction of slicing a solid shape can have different cross sections. I love it when kids can manipulate math on their on terms and try to figure things out. A cross section is the shape we get when cutting straight through an object.
Students can see a variety of shapes like a cone cylinder pyramid and prisms. Ways to cross section a cube. Cavalieri s principle and dissection methods.
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