# geometry

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

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