Volume of a prism.............?

Question

The volume of a larger prism is 168cubic cm. if the prisms are similar with linear ratio of 3:2 what is the volume of the smaller prism

Answer 1

the ratio says that the ratio of the larger to the smaller must be 3 to 2, that is the larger is 3/2 or 1 1/2 times the sizeof the smaller or the smaller is 2/3 the sizeof the larger. so since you have the size of the larger just take 2/3 of 168 and get 336/3 or 112cc.

Answer 2

since 3:2 is a linear ratio the volume will be the cube of that or 27:8 so;

168/27*8 is 49.777cc