A 5×5×5 cube is formed by using 1×1×1 cubes. If we add another layer of such 1×1×1 cube around the 5×5×5 cube. What will be the number of 1×1×1 cubes in the newly formed cube?
A
216
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B
343
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C
294
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D
264
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Solution
The correct option is B343
A 5×5×5 cube has 5 cubes of 1×1×1 cubes along its length, breadth and width each. If we add a layer of 1×1×1 cubes (the smaller cubes) then the new cube will have following dimensions: Length =5+1+1=7; breadth =5+1+1=7 and width =5+1+1=7. So the number of 1×1×1 cubes in this 7×7×7 cube =7×7×7=343.