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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.
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