Question

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

Answer 1

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