Correct Answer - Option 3 : 20
Given:
The sides of the cuboid = 5 cm, 2 cm, 5 cm
Concept:
HCF = The product of the smallest power of each common prime factor in the number
LCM = Product of greatest power of each prime factor involved in the numbers
When a solid is reshape then the volume of the solid will remain the same
Formula used:
Volume of the cuboid = L × B × H (Where, L = Length, B = Breadth, and H = Height)
The volume of the cube = a3 (Where a = The side of the cube)
Calculation:
⇒ The volume of the cuboid = 5 × 2 × 5 = 50 cm3
⇒ The side of the cube = LCM of (5, 2, 5) = 10
⇒ The volume of the cube = 103 = 1000 cm3
⇒ The total number of cuboid required to formed a cube = 1000/50 = 20
∴ The required result will be 20.