A metal cube of edge 12cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6cm and 8cm, find the edge of the third smaller cube.

Explanation

Let the edge of other cube be `a` cm

Volume of the cube = `(side)^3`

When volume remains the same

`12^3=6^3+8^3+a^3`

`a^3=1728-216-512`

`a^3=1000`

`therefore` `a=10cm`

Hence, edge of the cube is 10cm.