A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?  Options:
A) 1000
B) 2000
C) 3000
D) 4000
E) 5000
volume of the small cube = 0.03 m^3   so side of this cube = cubic root of 0.03 m^3 = .312 m   so after removing the outermost layer the dimensions for the inner cuboid will be (5-2*0.312), (6-2*0.312), (7-2*0.312)   so total volume will be (4.376)*(5.376)*(6.376) = 150 m^3   so no of cubes will be   150/0.03= 
<gadget id="calculator">  150/0.03</gadget>
<output>5_000</output>
5000   so we can remove 5000 inner cubes   ANSW5000R:5000
<result>E</result>
A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?