Question

Edge of the two cubes is 6 cm and 9 cm respectively. Find the ratio of the numerical values of the surface area of the second cube to the numerical values of the volume of the first cube.
1. 2 : 3
2. 4 : 9
3. 9 : 4
4. 3 : 2

Answer 1

Correct Answer - Option 3 : 9 : 4

Given: 

The edge of the first cube is 6 cm and the second cube is 9 cm.

Concept: 

Volume of the cube = (Side)³

Surface area of the cube = 6 × (Side)²

Calculation: 

Volume of the first cube = (6)³

⇒ 6 × 6 × 6 cm³

Surface area of the second cube = 6 × (9)²

⇒ 6 × 9 × 9 cm²

Now, The ratio of the numerical values of the surface area of the second cube to the numerical values of the volume of the first cube is 

⇒ (6 × 9 × 9) : (6 × 6 × 6)

⇒ (3 × 3) : (2 × 2)

⇒ 9 : 4

∴ The required ratio is 9 : 4.