Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from previous lessons to verify the formula and to show that it works for the general cone. 

Concepts

volume, volume of cones, volume of pyramids

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Additional Tags

math

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Instructional Ideas

• To remind the class of the formula for a pyramid or cone, use the the demonstration that shows it takes three cones of water to fill a cylinder with the same base and height

Classroom Considerations

• The hands-on section in the opening requires the use of six congruent pyramids for each group or individual
• The purpose of the lesson is not what the formula is but why the formula has a one-third
• The eleventh installment in a 14-part series

Pros

• Exercises require the application of the volume formula
• Includes scaffolding suggestions for dividing the class into small groups for discussions

Cons

• None

Common Core

HSG-GMD.A.1 HSG-GMD.A.3 HSG-MG.A.1 HSG-MG.A.2 HSG-MG.A.3 MP3 MP7