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im.g.5.10.2 Rectangular Prism, Shifted

The applet shows two rectangular prisms. Each prism's base has area B square units. The prisms are the same height. A plane intersects the two prisms parallel to their bases, creating cross sections.
Use the applet to investigate the behavior of the prisms by sliding the "move base" and "change skew" sliders. Investigate the behavior of the cross sections by sliding the "move plane" slider. How do the shape and area of the cross sections change when you move the plane up or down? How do the volumes of the two prisms compare?


Illustrative Mathematics. Geometry. Unit 5. Section 10Cross Sections and Volume under the Creative Commons Attribution 4.0 license,