Question

If the ratio of the surface areas of two similar geometrical solids is given by 121:36, what is the

Answer 1

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 = $a^2:b^2$

The ratio of the volume = $a^3:b^3$

We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36

Therefore:

$a^2:b^2=121:36\\\implies a^2:b^2=11^2:6^2\\\implies a:b=11:6$

Since the ratio of the lengths is 11:6

The ratio of their volumes = $11^3:6^3$

=1331:216

The ratio of the volume of the two similar geometrical solids is 1331:126.