Answer:
1331:216
Step-by-step explanation:
Given the ratio of the lengths of two similar solids as a:b
The ratio of the surface areas = [tex]a^2:b^2[/tex]
The ratio of the volume = [tex]a^3:b^3[/tex]
We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36
Therefore:
[tex]a^2:b^2=121:36\\\implies a^2:b^2=11^2:6^2\\\implies a:b=11:6[/tex]
Since the ratio of the lengths is 11:6
The ratio of their volumes = [tex]11^3:6^3[/tex]
=1331:216
The ratio of the volume of the two similar geometrical solids is 1331:126.
