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% |
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(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 (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%
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