Volume & Cavalieri's Principle

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

According to Cavlieri's Principle, which pair of shapes would have equal volumes?

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1. Cavalieri's Principle is most closely hinged on which measurements?

2. What is Cavalieri's Principle?

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About This Quiz & Worksheet

This informative quiz is provided to assess your knowledge of Cavalieri's Principle and its relation to volume. When you use this quiz, you'll answer questions about the measurements associated with this principle and an analogy used to describe it.

Quiz & Worksheet Goals

Our questions ask you about subjects such as:

  • Which pair of shapes from a given list would have equal volume, according to Cavalieri's Principle
  • The measurements most closely related to Cavalieri's Principle
  • The definition of Cavalieri's Principle
  • Which mathematical field depends largely on the concepts covered in Cavalieri's Principle
  • The best analogy for Cavalieri's Principle

Skills Practiced

  • Information recall - access the knowledge you've gained regarding which two shapes have equal volume, according to the principle
  • Interpreting information - verify that you can read information regarding the definition of Cavalieri's Principle and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about the mathematical field that is most connected to Cavalieri's Principle

Additional Learning

When these questions are difficult, we recommend taking a look at our short lesson called Volume & Cavalieri's Principle to review this subject further. After completing this lesson, you should be ready to do the following:

  • Detail the math that explains how planes cut from two cylinders at the same height have the same area
  • Explain why a stack of three circle pancakes have the same volume as three triangle pancakes
  • Discuss how Cavalieri's Principle makes it possible to verify accuracy of other mathematical calculations
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