Answer:
The similarity ratio of two cube is 13:8
Step-by-step 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](https://tex.z-dn.net/?f=%5Ctext%7BSide%20of%20first%20cube%20%7D%3D%5Csqrt%5B3%5D%7B2197%7D%3D13)
Volume of second cube = 512
![\text{Side of 2nd cube }=\sqrt[3]{512}=8](https://tex.z-dn.net/?f=%5Ctext%7BSide%20of%202nd%20cube%20%7D%3D%5Csqrt%5B3%5D%7B512%7D%3D8)


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