Question

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

Answer 1

Answer:
`27:125`

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`