Question

Two cubes
have their volumes in the ratio 1:27. Find the ratio of their surface area.
​

Answer 1

Answer:

Let their edges be a and b.

Then,

a³/b³ = 1/27

⇒ (a/b)³ = (1/3)³

⇒ a/b = 1/3 -------------------- (1)

Therefore, Ratio of the surface area,

⇒ 6a²/6b²

⇒ a²/b²

⇒ (a/b)²

⇒(1/3)² [From (1)]

⇒1/9

⇒i.e. 1 : 9

 Ratio of the surface area  = 1 : 9

hope it helps

tq,./

Step-by-step explanation: