A boy want to make a cuboid of dimension 5m,6m,7m from small cubes of .03 m^3. Later he realized ,he can make same cuboid by making it hollow. Then it take some cubes less. What is the no of these cube?.
A. 2000
B. 3000
C. 5000
D. 7000
Solution(By Examveda Team)
Volume of small cubes = 0.03 m^3.
Side of small cube = Cube root of 0.03 m^3 = 0.312 m.
On removing outer most layer, diamension of the Cuboid will be,
(5 - 2*0.312) = 4.376
(6 - 2*0.312) = 5.376
(7 - 2*0.312) = 6.376
Volume = 4.376 * 5.376 * 6.376 = 150 m^3.
So Number of small cubes = 150/0.03 = 5000.
So, 5000 these inner cube can be removed.
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