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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
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.
If two triangular prisms have the same height, Cavalieri's principle implies they will have different volumes if their base areas are different.
If two right triangular prisms with equal heights have different cross-sectional areas, Cavalieri's principle implies they have the same volume.
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.
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.
According to Cavalieri's principle, if two rectangular prisms have equal cross-sectional areas at every height, they have the same volume.
If a triangular prism and a rectangular prism have the same base area and height, Cavalieri's principle implies they have different volumes.
If two right triangular prisms have equal base areas but different heights, Cavalieri's principle implies they have the same volume.
Cavalieri's principle holds true for two right pentagonal prisms with different heights and different cross-sectional areas.
It is done.