Cavalieri’s Principle states that any two objects with equal volume must have the same height.

Cavalieri’s Principle states that any two objects with equal volume must have the same height.

False - if two objects have equal volume must have the same BASE, not height.

False - if two objects have equal volume must have the same SLANT HEIGHT, not height.

True

False - if two objects have the same base and height, they must have the same volume.

1 answer

False - if two objects have the same base and height, they must have the same volume.

Cavalieri's Principle actually states that if two objects have the same height, and every corresponding cross-sectional area at all heights are the same, then the two objects have the same volume. This principle is a fundamental concept in geometry and provides a way to compare volumes of different shapes. It does not require the objects to have the same base or same shape, as long as the cross-sectional areas are equivalent at every level.