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Quantitative Aptitude ( CCS) Mensuration 3D

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A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in the surface area after such cutting?

300%

400%

200%

none of these

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Explanation:

Volume of 4 cm cube = 64 cc. When it is cut into 1 cm cube, the volume of each of the cubes = 1cc
Hence, there will be 64 such cubes. Surface area of small cubes = 6 (1²) = 6 sqcm.
Therefore, the surface area of 64 such cubes = 64 * 6 = 384 sqcm.
The surface area of the large cube = 6(4²) = 6*16 = 96.
% increase = = 300%