The surface areas of two similar solids are 1008cm^2 and 1372ccm^2. the volume of the larger solid is 1801cm^3 find the volume of the smaller solid round your answer to the nearest hundredth

This can be treated as a proportion problem.

Larger solid:

Surface area = 1,372 cm²

Volume = 1,801 cm³

Smaller solid:

Surface area = 1,008cm²

Volume = ?

1,372 / 1,801 = 1008 / x

1,372 * x = 1,801 * 1008

1,372x = 1,815,408

x = 1,815,408 / 1,372

x = 1,323.18

The volume of the smaller solid is 1,323.18 cm³