Posted by **Emily** on Thursday, April 26, 2007 at 8:49am.

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

## Answer This Question

## Related Questions

- math - The volume of a larger prism is 168 cubic cm. if the prisms are similar ...
- geometry - two smaller prisms have heights 2' and 10'. If the volume of the ...
- geometry - Two similar rectangular prisms have a scale factor of 4:9. The ...
- math - 2 rectangular prisms are proportional. the edges of the smaller prism are...
- geometry - 2 regular hexagonal prisms are similar. The areas of their bases are ...
- geometry - The ratio of two similar prisms is 2:5 the volume of the larger is ...
- Math - Suppose you have two similar rectangular prisms. The volume of the ...
- Geometry - A regular pentagonal solid prism has 9cm base edges. A larger, ...
- geometry - A right triangle prism has a volume of 2 cubic inches. A second right...
- math - the dimensions of trianguloar prism A andtriangular prism B are ...

More Related Questions