Three cubes of a metal whose edges are 6cm, 8cm, and 10cm respectively are melted to form a single cube. The edge of the new cube is

Sum of volumes of the three metals cubes = 6³ + 8³ + 10³

= 216 + 512 + 1000

= 1728cm³

Since , a new cube is formed by melting these three cubes.

Let a be the side of new cube .

Volume of the new cube = sum of volumes of three metal cubes

A³ = 1728

a = 12cm

hence ,the edge of the new cubes is 12cm