A metallic cube has each of its side of length 12 cm. It is melted and recast into three small cubes. Out of these cubes, two have their sides as 6 cm and 8 cm, respectively. The length of each side of the third cube is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 10 cm.
Volume of cube = (side)3
Let the length of each side of the third cube be x cm.
According to the given question,
123 = 63 + 83 + x3
⇒ x3 = 1728 - 216 - 512
⇒ x3 = 1000
⇒ x = 10 cm