(2/3)3 = 8/27
True
False -apex-
false
27:1331
The ratio is 57 cubed. This answer does not depend on the fact that you are comparing two similar pyramids; it works the same for two cubes, two spheres, etc. - in general, for any two similar 3D objects.
True
false
The ratio is 27 : 1331.
False -apex-
false
8:343
27:1331
64:729
FALSE.
No, the ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges. The volume of a solid object is proportional to the cube of its linear dimensions, not the square root.
The ratio is 57 cubed. This answer does not depend on the fact that you are comparing two similar pyramids; it works the same for two cubes, two spheres, etc. - in general, for any two similar 3D objects.
As volume is length x length x length, cube the ratio of the lengths, thus: Ratio of lengths = 2 : 5 ⇒ Ratio of volumes = 23 : 53 = 8 : 125