45. Find the similarity ratio of a cube with a volume 512 m3 to a cube with volume 3,375 m3. (1 point)
8 : 15
64 : 225
15 : 8
225 : 64
if you mean the ratio of their corresponding sides, it would be
8 : 15
check"
8^3 : 15^3
= 215 : 3375
since volumes of similar shapes are proportional to the cube of their sides
To find the similarity ratio between two cubes, you need to compare their volumes.
In this case, we are given the volumes of two cubes. 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, divide the volume of the second cube by the volume of the first cube.
For the given volumes, the similarity ratio would be:
3,375 m^3 / 512 m^3
Simplifying this fraction, we get:
6.591796875
Therefore, the similarity ratio is approximately:
8 : 15
So, the correct answer is:
8 : 15