alleryA cube of side 8 cm is melted and recast into 8 equal smaller cubes. The side of each smaller cube is
A8 cm
B2 cm
C4 cm
D1 cm
Answer & Solution
Correct answer: C. 4 cm
1. Total volume = 8 cubed = 512 cu cm; each small cube has volume 512/8 = 64.
2. Side of small cube = cube root of 64 = 4 cm.
3. Hence 4 cm.
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_
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