Question

A cuboidal block of 6 cm × 15 cm × 18 cm is cut up into an exact number equal cube then find the least possible number of cubes?
1. 70
2. 60
3. 80
4. 120

Answer 1

Correct Answer - Option 2 : 60

Given,

The cuboidal block = 6 cm × 15 cm × 18

Calculation

Here, l = 6 cm, b = 15 cm, h = 18 cm

⇒ HCF 

⇒ l = 3 × 2

⇒ b = 3 × 5,

⇒ h = 3 × 2 × 3

⇒ HCF = 3

Least number of cube = (6 × 15 × 18)/(3 × 3 × 3)

⇒ n = 2 × 5 × 6

⇒ 60 

∴ The least number of cube = 60