A metallic solid cuboid of dimensions 36 cm × 22 cm × 12 cm is melted and recast in the form of cubes of side 6 cm. Find the number of the cubes so formed.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 44.
We know,
Volume of cube = side3
Volume of cuboid = LBH
Where, L = length, B = Breadth and H = height
According to the question;
Let the number of cubes be n.
⇒ Volume of cuboid = n × Volume of cube
⇒ 36 × 22 × 12 = n × 63
⇒ n = 22 × 2
⇒ n = 44