This question was previously asked in

REET 2017 Level 2 (Maths & Science) (Hindi-I - English-II/Sanskrit-II) Official Paper

- 3 : 4
- 4 : 3
- 9 : 16
- 3√3: 8

Option 3 : 9 : 16

**Given:**

Ratio of volume = 27 : 64

**Formula:**

Volume of cube = (side)^{3}

Surface area = 6(side)^{2}

**Calculation:**

Let the sides of the smaller and bigger cubes be ‘x’ and ‘y’ respectively

⇒ x^{3}/y^{3} = 27/64

⇒ x/y = ¾

∴ Ratio of surface area = 6x^{2} : 6y^{2} = 9 : 16

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