Problema Solution

if a cube has an edge equal to the diagonal of another cube, find the ratio of their volumes.

Answer provided by our tutors

if the length of the edge of cube=a

then the volume of the cube =a3

given that another cube whose side=sqrt(2)a

then the volume of the second cube=2sqrt(2)a3

 

the ratio will be v1:v2=a3:2sqrt(2)a3

=1:2sqrt(2)