Understanding Cavalieri's Principle (T)
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Concept-Building Question 3
If two right prisms with the same base area and height were cut by a horizontal plane, how would their cross-sections compare to one another?

Give students the chance to answer that their areas would be the same. If more guidance is needed, you may clarify:

How would the areas of the cross-sections compare to one another?

Upon realizing that the cross-sections are identical to their respective bases, students should respond that they would have the same area. However, since the shapes do not look the same, students may need to be reminded that the base areas are the same. If necessary for making the desired connection, ask students how the shapes of the cross-sections compare to the shapes of the respective bases. If they are able to see that each prism's cross-section is the same shape and size as its base, and if they understand that identical shapes have the same area, what remains is to establish that the areas of the new surfaces are equal via the transitive property of equality. 



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RadEditor - HTML WYSIWYG Editor. MS Word-like content editing experience thanks to a rich set of formatting tools, dropdowns, dialogs, system modules and built-in spell-check.
RadEditor's components - toolbar, content area, modes and modules
   
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RadEditor's bottom area: Design, Html and Preview modes, Statistics module and resize handle.
It contains RadEditor's Modes/views (HTML, Design and Preview), Statistics and Resizer
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