Find the similarity ratio of a cube with a volume 512m^3 to a cube with volume 3,375m^3
r^3 = 512/3375 = (8/15)^3
r = 8/15
Thanks
To find the similarity ratio between two cubes, we can compare their volumes. The similarity ratio is given by the cube root of the ratio of their volumes.
In this case, the volume of the first cube is 512 m^3, and the volume of the second cube is 3,375 m^3.
To find the similarity ratio:
1. Calculate the ratio of the volumes: 3,375 m^3 / 512 m^3 = 6.5918.
2. Find the cube root of the ratio: ∛6.5918 ≈ 1.899.
Therefore, the similarity ratio of the cube with volume 512 m^3 to the cube with volume 3,375 m^3 is approximately 1.899:1.