A 4 cm cube is cut into 1 cm cubes. what is the percentage increase in the surface area after such cutting ?
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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 cm2.
Therefore, the surface area of 64 such cubes = 64 * 6 = 384 cm2.
The surface area of the large cube = 6(42) = 6*16 = 96.
% increase = 384 – 96/96 = 300%
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