Edge of the big solid cube = 14 cm
Volume of the big solid cube = 14 x 14 x 14 cm3 = 2744 cm3
Edge of the small cube = 2 cm
Volume of one small cube = 2 x 2 x 2 cm3 = 8 cm3
Number of smaller cubes obtained = Volume of big cube/Volume of one small cube = 2744/8 = 343