AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT?

Question

asked Apr 14, 2019 39.3k views

1 Answer

Jerry Unkhaptay · Answer 1 · 2019-04-21T15:53:05+0000

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.