IM Geo.5.2 Lesson: Slicing Solids
Imagine slicing a cylinder with a straight cut. The flat surface you sliced along is called a cross section. Try to sketch all the possible kinds of cross sections of a cylinder.
The triangle is a cross section formed when the plane slices through the cube. Sketch predictions of all the kinds of cross sections that could be created as the plane moves through the cube.
The 3 red points control the movement of the plane. Click on them to move them up and down or side to side. You will see one of these movement arrows appear.
Sketch any new cross sections you find after slicing.
Delete the cube and build another solid by following the directions in its Tooltip.
Make predictions about the the kinds of cross sections that could be created if the plane moves through the solid. Move your plane to confirm.
Each question shows several parallel cross-sectional slabs of the same three-dimensional solid.
Name each solid.
3D-printers stack layers of material to make a three-dimensional shape.
Computer software slices a digital model of an object into layers, and the printer stacks those layers one on top of another to replicate the digital model in the real world.
Draw 3 different horizontal cross sections from the object in the image.
The layers can be printed in different thicknesses. How would the thickness of the layers affect the final appearance of the object?
Suppose we printed a rectangular prism. How would the thickness of the layers affect the final appearance of the prism?