Question

ratio of two cubes is 1:4. find the ratio of their sides​

Answer 1

Answer :

1:8

Step-by-step explanation:

Ratio of the cubes Surface Area - 1:4

Total Surface area of cube 1 → 6a²

Total Surface area of cube 2 → 6x²

Surface area = 1:4, now we equate the formula to the value, to find the value of the sides.

[6 gets cancelled]

a =  2 1

a : x = 1 : 2

Hence,

a = 1

x = 2

Now, Volumes are ↓

Formula for finding Volume = a³

Vol. Of Cube 1

= a³

= 1³

= 1

Vol. Of Cube 2

= a³

= 2³

= 8

Hence the ratio of their volumes is 1:8.