Question

What is the similarity ratio of a cube with volume 729 m3 to a cube with volume 3375 m3?

Answer 1

k = ?

`(V_1)/(V_2)=k^3` From theory

`(729m^3)/(3375m^3)=k^3\\\\k^3=(729)/(3375)\\\\k^3=(27)/(125)\\\\k^3=((3)/(5))^3\\\\ k=(3)/(5)`

Answer = 3/5

Answer 2

Ratio=
`(3)/(5)`.

Explanation:

Given : volume 729 m³ to a cube with volume 3375 m³.

To find : What is the similarity ratio of a cube .

Solution : We have given volume of one cube = 729 m³

Volume of second cube = 3375 m³.

Ratio =
`(Volume\ of \ one\ cube)/(Volume\ of \second\ cube)`.

(ratio)³ =
`(729)/(3375)`.

(ratio)³=
`(27)/(125)`.

(ratio)³=
`(3³)/(5³)`.

(ratio) =
`(3)/(5)`.

Therefore, Ratio=
`(3)/(5)`.