Question

Two cubes have their volume in the ratio 1 :27 find the ratio of their surface area

Answer 1

Step-by-step explanation:

दो घनों के आयतनों का अनुपात = 1 : 27

a(1)³ : a(2)³ = 1 : 27

उनकी भुजाओं का अनुपात = 1 : 3

उनके पृष्ठीय क्षेत्रफलों का अनुपात होगा ,

6a(1)² : 6a(2)²

6(1)² : 6(3)²

1 : 9

Answer 2

Given :-

Ratio of volume = 1:27

To Find :-

Ratio of SA

Solution :-

We know that

Volume of cube = edge³

Let the edge be a and other edge be a'

a³/a'³ = 1/27

a/a' = ∛1/∛27

a/a' = 1/3

Now

TSA/TSA' = 6(1)²/6(3)²

TSA/TSA' = 6(1)/6(9)

TSA/TSA' = 1/9