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