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 the other cube be `a`
Volume of bigger cube`=`Volume of `3` smaller cube
`12^3=6^3+8^3+a^3`
`a^3=12^3-(6^3+8^3)`
`a^3=12^3-6^3-8^3)`
`a^3=1728-216-512`
`a^3=1000`
`a=root3(1000)`
`a=10`
`therefore` Edge of the cube`=10 cm`