Question

If two solids are similar and the ratio between the lengths of their edges is 2;7 what is the ratio of their volumes?

solid 1 : L:14 H:7 W:21
solid 2: L:4 H:2 W:6

Answer 1

8 : 343

Explanation:

Given 2 similar figures

ratio of sides = a : b, then

ratio of volumes = a³ : b³

Here the ratio of edges = 2 : 7, hence

ratio of volumes = 2³ : 7³ = 8 : 343