Cavalieri's Principle, Cross Sections

12 disks

6 disks

10 disks

True

False - the cross sectional areas are not relevant

False - only the slant height is relevant

False - even if they have the same cross sectional areas and heights, they cannot have the same volume.

False. Although the cross-sectionals' area and heights of the 3-D figures are the same,the shapes are not congruent

True. The cross-sectionals' area and the heights of the 3-D figures are the same. They don't have to be the same shape.

False. The cross-sections are not the same shape.

True. All the shapes are 3-D figures and the same height.

Jenny

Renee

Neither Jenny or Renee is correct.

No, they will not be same. Although the heights are the same, the cross-sections are different shapes. 

Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.