IM 7.7.11 Lesson: Slicing Solids
Click on the applet and drag the mouse to show the object turning in 3D.
Describe the shape as precisely as you can.
Click on the applet and drag the mouse to show the object turning in 3D.
Describe the shape as precisely as you can.
Click on the applet and drag the mouse to show the object turning in 3D.
Describe the shape as precisely as you can.
Here are a rectangular prism and a pyramid with the same base and same height. Drag the large red point up and down to move the plane through the solids.
If we slice each solid parallel to its base halfway up, what shape cross sections would we get?
What is the same about the cross sections?
What is different?
If we slice each solid parallel to its base near the top, what shape cross sections would we get?
What is the same about the cross sections?
What is different?
Describe the cross sections that would result from slicing each solid perpendicular to its base.
Sort the images into groups that make sense to you. Be prepared to explain your reasoning.
Use the applet to draw each cross section and describe it in words.
Here is an applet with a rectangular prism, 4 units by 2 units by 3 units.
Describe the cross section in words: A plane cuts the prism parallel to the bottom and top faces.
Describe the cross section in words: The plane moves up and cuts the prism at a different height.
Describe the cross section in words: A vertical plane cuts the prism diagonally.
A square pyramid has a base that is 4 units by 4 units. Its height is also 4 units.
Describe the cross section in words: A plane cuts the pyramid parallel to the base.
Describe the cross section in words: A vertical plane cuts the pyramid.
A cube has an edge of length 4.
Describe the cross section in words: A plane cuts off the corner of the cube.
Describe the cross section in words: The plane moves farther from the corner and makes a cut through the middle of the cube.