Q.

125 small but identical cubes have been put together to form a large cube. How many more such small cubes will be required to cover this large cube completely ?

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a

208

b

212

c

254

d

218

answer is D.

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Detailed Solution

As the given cube is 5×5×5 we have to cover with 

[(7×7×7)(5×5×5)]7353343125=218

218 cubes are needed to cover it completely

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