(2/3)3 = 8/27
True
false
False -apex-
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.
If two pyramids are similar, the ratio of their volumes is the cube of the ratio of their corresponding edge lengths. Since the ratio of the lengths of their edges is 4, the ratio of their volumes would be (4^3), which is 64. Therefore, the ratio of their volumes is 64:1.
True
false
The ratio is 27 : 1331.
8:343
false
False -apex-
64:729
FALSE.
27:1331
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.
If two pyramids are similar, the ratio of their volumes is the cube of the ratio of their corresponding edge lengths. Given that the ratio of their edges is 3.11, the ratio of their volumes would be (3.11^3). Calculating this, the volume ratio is approximately 30.3. Thus, the volume of the larger pyramid is about 30.3 times that of the smaller pyramid.