Question

the ratio of the volume of 2 cubes is 125.216 what is the ratio of their surface area

Answer 1

suppose 1st cube be x1 and 2nd cube be x2

then... ,
x1/x2=125.216
then find x


put the value of x here
(x1)² ÷ (x2)²

hope it help

Answer 2

Hey !!!

Volume of cube = a³

hence , a³ = 125

a = 5 in 1st case side = 5

again , a³ = 216

a = 6 side = 6 in 2nd case side = 6

We know that total surface area of cube = 6a²

6* 5² = 6×125 ------1)

and , again similarly in 2nd case

6a² = 6×6² -----2

dividing by 1 to 2

6*5²/6×6² = 25/36 Ratio of surface area of cube

25: 36 Answer

if you want to ratio of lateral surface area of cubes then ..

formula of lateral surface area of cube = 4a²

4×5²/4×6² = 25/36

25 : 36 Answer
Ratio in both case the answer is same

________________________

Hope it helps you !!

@Rajukumar111