False
Normally, yes.
estimate the volume of solids that are combinations of other solids
64:729
125:216
The ratio is sqrt(125/216) = sqrt(0.578704) = 0.7607 (to 4 dp) The question is more likely to have been about volumes being 125 and 216. In that case, the ratio of the solids' dimensions would have been the cuberoot of (125/216) which is 5/6.
True... FALSE Cavalieri's Principle states that two solids with equal heights and cross-sectional volumes at every level have equal areas?
True... FALSE Cavalieri's Principle states that two solids with equal heights and cross-sectional volumes at every level have equal areas?
false... Cavalieri's Principle states that two solids with equal heights and equal cross-sectional areas at every level have equal volumes
Yes, solids keep their volume.
Cavalieri's Principle states that if two solids have the same height and cross-sectional area at every level, they have the same volume. This principle can be applied regardless of the shape of the solids, as long as the aforementioned conditions are met. It is often used in geometry and calculus to determine volumes of irregular shapes by comparing them to known solids. Essentially, it highlights the importance of cross-sectional area in calculating volume.
Both liquids and Solids have definite volumes
Solids and liquids both have fixed volumes.
Normally, yes.
both liquids and solids have definite volumes
Resistance to deformation.
no because a solid has particles tightly packed it is hard to change a solid
The ratio of the volumes of two similar solids is proportional to the cube of the diameter - or of any other linear measurement. For example, at twice the diameter, you would have 8 times the volume.