The length, breadth and the height of a cuboid are 24 cm, 18 cm and 12 cm respectively. It is melted to make smaller cubes. If the length of the side of the cube is 6 cm, then what is the number of cubes formed?

Correct option is D

Given:
The length, breadth, and height of a cuboid are 24 cm, 18 cm, and 12 cm respectively.
The length of a side of the cube is 6 cm.
Formula Used:
Volume of the cuboid = Length × Breadth × Height
Volume of a single cube = Side³
Solution:
Volume of the cuboid = Length × Breadth × Height = 24 cm × 18 cm × 12cm = 5184 cm³.
Volume of a single cube = (6 cm)³ = 216 cm³.
Number of cubes formed = $$\frac{\text{Volume of the cuboid}}{\text{Volume of a single cube}} = \frac{5184\ \text{cm}^3}{216\ \text{cm}^3} = 24\ \text{cubes}$$​​