Mensuration  Quant/Math 
Question 4 the day:
September 26, 2002
The question for the day is from the topic of Mensuration.
 A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in the surface area after such cutting?
(1) 
4% 

(2) 
300% 

(3) 
75% 

(4) 
400% 
Correct Answer  (2)
Solution:
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 (1^{2}) = 6 sqcm.
Therefore, the surface area of 64 such cubes = 64 * 6 = 384 sqcm.
The surface area of the large cube = 6(4^{2}) = 6*16 = 96.
% increase = = 300%
