The length, breadth, and 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?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 24.
We know that,
Number of cubes formed = Volume of cuboid/Volume of cube
Volume of cuboid = length × breadth × height
⇒ 24 × 18 × 12 = 5184 cm3
Volume of cube = side3 = 63 = 216 cm3
Hence,
The number of cubes formed = 5184/216 = 24