Three metal cubes with edges 6cm, 8cm and 10cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.

Explanation

Given, Edge of first cube = 6 cm

Edge of second cube = 8 cm

and edge of third cube = 10 cm

Now, Volume of three cubes =volume of 1 cube+volume of 2 cube+volume of 3 cube

Volume of three cubes =`6^3+8^3+10^3`=`216+512+1000`

Volume of three cubes =`1728 cm^3`

Edges so formed =`root(3)(x)1728`=`12 cm`

`therefore` Surface area of new cube=`6xx12^2`=`864 cm^2`

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