Two similar pyramids have corresponding dimensions in the ratio 3:5 Find the ratio of their volumes

Question

asked Feb 13, 2021 13.0k views

1 Answer

KCK · Answer 1 · 2021-02-18T22:05:32+0000

Answer:

Explanation:

Given

Ratio of corresponding dimensions is in the ratio of
3:5

If the two pyramids are similar then the ratio of their volumes is proportional to the cube of their side ratio

i.e.

$\Rightarrow (V_1)/(V_2)=((l_1)/(l_2))^3$

$\Rightarrow (V_1)/(V_2)=((3)/(5))^3$

$\Rightarrow (V_1)/(V_2)=(27)/(125)$

Thus the ratio of their volumes is
27:125