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