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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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208

212

254

218

answer is D.

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Detailed Solution

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

$\begin{array}{l} [(7 \times 7 \times 7) - (5 \times 5 \times 5)] \\ \Rightarrow 7^{3} - 5^{3} \\ \Rightarrow 343 - 125 = 218 \end{array}$

218 cubes are needed to cover it completely

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