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Apply Cavalieri’s Principle To Prisms

True or False?

If two right triangular prisms have equal base areas but different heights, Cavalieri's principle implies they have the same volume.

If two right triangular prisms with equal heights have different cross-sectional areas, Cavalieri's principle implies they have the same volume.

 

True or False?

 According to Cavalieri's principle, if two rectangular prisms have equal cross-sectional areas at every height, they have the same volume.

 

True or False?

For two rectangular prisms with the same base area, Cavalieri's principle implies they will have different volumes if their heights are different.

True or False?

Cavalieri's principle holds true for two right pentagonal prisms with different heights and different cross-sectional areas.

True or False?

If a hexagonal prism and a rectangular prism have equal volumes and heights, Cavalieri's principle implies that their base areas are the same.

 

True or False?

If a triangular prism and a rectangular prism have the same base area and height, Cavalieri's principle implies they have different volumes.

 

True Or False?

If an equilateral triangular prism and a square prism have equal volumes and heights, Cavalieri's principle implies that their base areas are the same.

 

True or False?

  If two triangular prisms have the same height, Cavalieri's principle implies they will have different volumes if their base areas are different.

 

True or False?

 If an isosceles triangular prism and a rectangular prism have equal volumes and heights, Cavalieri's principle implies that their base areas are the same.