16:1
5:11
The corresponding sides of similar solids have a constant ratio.
yes
If the length ratio is 2:7 then the area ratio would be 4:49, squaring the 2 and the 7.
I think you probably mean platonic. The cube is one of only five platonic solids. These are the only shapes that can be made with outward-pointing corners and sides all of the same lengths.
If the ratio of the lengths of corresponding parts in two similar solids is 51, then the ratio of their surface areas is the square of the ratio of their lengths. Therefore, the ratio of their surface areas is ( 51^2 = 2601 ).
7:10
16:1
False. The ratio of the surface areas of two similar solids is equal to the square of the ratio of their corresponding edge lengths, not the square root. If the ratio of the edge lengths is ( k ), then the ratio of the surface areas is ( k^2 ).
16:25
7:10
9 36
4:25
18:32
4:1
5:11
4:12 (Apex)