Question

ratio of the surface area of two cubes 16:25 . what is the ratio of their volumes ?​

Answer 1

Answer:

64:125

Step-by-step explanation:

Let the sides of two cubes be a and b.

Given,, ratio of surface area of two cubes = 16 : 25

6a²/6b²=16/25;

a²/b²=16/25;

a/b=√16/25;

a/b=4/5

Now, the ratio of the volume of cubes:

a³/b³=(a/b)³=(4/5)³=64/125

Hence, the ratio of the volume of two cubes is 64: 125.

Hope it helped you sis