Question

If the ratio of Volume and Total surface area (TSA) of cube is 3 : 4. Find the curve surface area of the cube.
1. 64 cm²
2. 49 cm2
3. 100 cm2
4. 81 cm2

Answer 1

Correct Answer - Option 4 : 81 cm2

Given:

Ratio = 3 : 4

Formula used:

TSA = 6a²   (where a is the side of the cube)

CSA = 4a²

Volume of cube (V) = a³

Calculations:

According to the question, V/TSA = 3/4

⇒ a³/6a² = 3/4

⇒ a = 9/2

⇒ a = 4.5 cm

⇒ CSA = 4 × (4.5)²

⇒ CSA = 81 cm²

∴ The curve surface area of the cube is 81 cm².