Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.
Given,
Edges of 3 metal cubes = 6cm, 8cm, 10 cm
Volume of these cubes together = 63+83+103 = 216+512+1000 = 1728 cm3
Let volume of new cube formed = V
So, V = 1728
= a3 = 1728 = a =
Surface area of new cube = 6a2 = 6×122 = 864 cm2
Diagonal of new cube = 
10