# geometry

posted by
**Emily**
.

the volume of a larger prism is 128 cubic cm. if the prisms are similar with linear ration of 4:3, what is the volume of the smaller prism?

We have a theorem that says

The volumes of similar objects are proportional to the cubes of their sides.

So let the volume of the smaller prism be V

then V/128 = 3^3 / 4^3

V/128 = 27/64

cross-multiply and solve