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.
Start each one by dragging the gray bar on the left side across the screen until you see the whole 3D image on the left and the controls on the right.
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.[br]
Describe the cross section in words: The plane moves up and cuts the prism at a different height.[br]
Describe the cross section in words: A vertical plane cuts the prism diagonally.[br]
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.

IM 7.7.11 Practice: Slicing Solids

[size=150]A cube is cut into two pieces by a single slice that passes through points [math]A[/math], [math]B[/math], and [math]C[/math]. What shape is the cross section?[/size][br][img]data:image/png;base64,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[/img]
Describe how to slice the three-dimensional figure to result in each cross section.
Three-dimensional figure: 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[/img][br][br]Cross 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[/img]
Here are two three-dimensional figures.
[img]data:image/png;base64,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[/img][br]Describe a way to slice one of the figures so that the cross section is a rectangle.
Each row contains the degree measures of two supplementary angles. Complete the table.
Two months ago, the price, in dollars, of a cell phone was c.
Last month, the price of the phone increased by 10%. Write an expression for the price of the phone last month.
This month, the price of the phone decreased by 10%. Write an expression for the price of the phone this month.
Is the price of the phone this month the same as it was two months ago? Explain your reasoning.

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