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Geometry · Chapter 12 · Lesson 12.5 · Printable PDF

Why the Volume Formulas Hold: Dissection, Slicing and Cavalieri Worksheet with Answer Key

5 problems on why the volume formulas hold: cutting a box into pyramids, a hemisphere compared to a cone, a corner cut off a block of cheese, pyramids around a cone, and a bead made from a ball. 2 pages, with a worked answer key.

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Printable Why the volume formulas hold: dissection, slicing and Cavalieri worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Find the volume of each of six pyramids made by joining a box's center to its corners.
  2. Compare the volume Arjun's rule gives for a hemisphere with the true volume.
  3. Find the volume of the corner pyramid cut from a block of cheese.
  4. Find the volume of pyramids drawn around a cone's base and compare with the cone.
  5. Find the volume of a bead made by sawing two slices off a wooden ball.

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

Why the volume formulas hold: dissection, slicing and Cavalieri: the lesson ›

More Chapter 12 worksheets: Area and volume