Question

Diagonal of a cube is 4√3 cm. Find the ratio of its total surface area and volume.
1. 2 : 3
2. 1 : 3
3. 3 : 1
4. 3 : 2

Answer 1

Correct Answer - Option 4 : 3 : 2

GIVEN:
Diagonal = 4√3 cm

FORMULA USED:

Diagonal of cube = √3 × edge

T.S.A of cube = 6a²

Volume of cube = a³

CALCULATION:

Diagonal = √3 a = 4√3

a = 4 cm

T.S.A = 6 × 4 × 4 = 96 cm²

Volume = 4 × 4 × 4 = 64 cm³

T.S.A : Volume = 96 : 64 = 3 : 2

∴ The required ratio is 3 : 2