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Geometry · Chapter 12 · Lesson 12.4 · Printable PDF

Cavalieri's Principle Worksheet with Answer Key

7 problems on Cavalieri's principle: volumes of oblique prisms, cross sections of equal area, a winding flower bed, a pyramid and cone, four solids between parallel planes, and a slanted cylinder. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Cavalieri's principle worksheet with answer key - Geometry (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Find the volume of a glass doorstop shaped like an oblique prism with trapezoid ends.
  2. Find the height and volume of a slanted crystal block with triangle ends.
  3. Find the area of a flower bed between a winding path and its slid copy.
  4. Compare a cut pyramid and a cone with equal cross sections.
  5. Decide which of four solids between two planes have equal volumes.
  6. Find cross section areas of a solid and describe an upright solid with equal volume.
  7. Test a student's claim that a sawn cylinder has the same volume as an upright one.

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The free lesson teaches it with worked examples and practice problems.

Cavalieri's principle: the lesson ›

More Chapter 12 worksheets: Area and volume