Question

ratio of surface areas of two cubes is 25 : 36.find the ratio of their volumes​

Answer 1

Answer:

125 : 216

Step-by-step explanation:

surface area of cube having side a = 6a²

and volume is a³

6a₁² = 25

a₁² = 25/6

a₁ = 5/√6

a₁³ = 5*5*5/√6*√6*√6 = 125/6√6

6a₂² = 36

a₂²= 6

a₂ = √6

a₂³ = 6√6

a₁³:a₂³ = 125/6√6 : 6√6

          = 125 : 216

or

6a₁² : 6a₂² = 25 :36

a₁ : a₂ = 5: 6

a₁³:a₂³= 125: 216