Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm

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Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is

1. 12 cm.
2. 14 cm.
3. 16 cm.
4. 18 cm.

Correct Option: A

Volume of larger cube = x₁³ + x₂³ + x₃³
= (6³ + 8³ + 10³) cu. cm.
= (216 + 512 + 1000) cu. cm.
= 1728 cu. cm.
∴ Its edge = ³√1728
= ³√12 × 12 × 12 = 12 cm.