1.

A solid cube of edge 14 cm is melted down and recasted into smaller and equal cubes each of edge 2 cm; find the number of smaller cubes obtained.

Answer»

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



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