Reasoning Class 7 Cubes and Dice

Asked by RAJANYA MONDAL · The Level field School

A cube is cut into 64 equal smaller cubes. How many small cubes lie along all the edges of the large cube, counting each cube only once?

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Answer: B. 32

Each of the 12 edges contains 4 small cubes. The 8 corner cubes are counted three times, so we subtract the extra 2 counts for each corner.
12 x 4 - 8 x 2= 48-16=32

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