Q. 16

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.

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


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