Lessons for G.GMD.A.3
Why the volume formulas hold: dissection, slicing and CavalieriInformal arguments for the cylinder, pyramid, cone and sphere volume formulas, by dissection, by slicing and by Cavalieri's principle.Lesson
Volume of a cylinderThe same stacking idea carried out with a circular base.Lesson
Volume of prisms and cylindersStacking copies of the base area all the way up to the height.Lesson
Volume of pyramids and conesA pyramid holds one third of the prism with the same base and height.Lesson
Volume of a sphereA sphere holds two thirds of the cylinder that just contains it.Lesson
Composite solids and densitySplitting a shape such as a silo into familiar solids and then adding or subtracting the pieces.Lesson
Printable Worksheets
Why the volume formulas hold: dissection, slicing and Cavalieri worksheet (PDF)Printable worksheet with answer keyPreview
Volume of a cylinder worksheet (PDF)Printable worksheet with answer keyPreview
Volume of prisms and cylinders worksheet (PDF)Printable worksheet with answer keyPreview
Volume of pyramids and cones worksheet (PDF)Printable worksheet with answer keyPreview
Volume of a sphere worksheet (PDF)Printable worksheet with answer keyPreview
Composite solids and density worksheet (PDF)Printable worksheet with answer keyPreview