The surface areas of two similar solids are 289 ft2 and 900 ft2. The volume of the larger solid is 1,755 ft3. What is the volume of the smaller solid?

Question

anonymous · Answer

The surface areas of two similar objects are proportional to the square of their sides.

Small side^2 / large side^2 = 900/289 

Small side/large side = 30/17 

Volume of two similar objects is proportional to the cubes of their sides. 

Smaller volume/1755 = 17^3/30^3 

Smaller volume = 1755(4913/27000) = 319

anonymous · Answer

dang your smart!! lol. thanks again xD I'm taking notes about every work you gave me

anonymous · Answer

You're welcome!! Xo!