Question

AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT?

Answer 1

Two similar prisms have proportional dimensions. Find the ratio between lengths of these prisms:

`k=(7)/(5)`.

The ratio between volumes of similar prisms is

`(V_(large))/(V_(small))=k^3`.

If volume of small prism is 50 cub. m, then

`(V_(large))/(50)=((7)/(5) )^3=(343)/(125),\\V_(large)=(343\cdot 50)/(125) =137.2`cub. m.

Answer: 137.2 cub. m.