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

Question

Philoid · Accepted Answer

Given,

Edge of metal cube = 12 cm

Edge of smaller two cubes = 6 cm , 8 cm

Let edge of third cube = a cm

So,

Volume of metal cube = sum of volume of three small cubes

=

So,

Edge of third smaller cube would be = 10 cm