Question

What is the similarity ratio of a cube with volume 2197 m3 to a cube with volume 512 m3?

Answer 1

13/8 is your answer hope it helps

Answer 2

The similarity ratio of two cube is 13:8

Explanation:

The ratio of a cube with volume 2197 m³ to a cube with volume 512 m³

Here we need to find the similarity ratio of volume of two cube.

Ratio gives the scale factor of two cube which shows the similarity of two figure.

Volume of cube = side³

Similarity ratio = ratio of side of two cube.

Volume of first cube = 2197

`\text{Side of first cube }=\sqrt[3]{2197}=13`

Volume of second cube = 512

`\text{Side of 2nd cube }=\sqrt[3]{512}=8`

`Ratio=(Cube 1)/(Cube 2)`

`Ratio=(13)/(8)`

Hence, The similarity ratio of two cube is 13:8