1)find the smallest and largest 2 digit perfect cubes
2)find the smallest and largest 3 digit perfect cubes
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1. 27 and 64 are the smallest and the largest 2-digit numbers which are also perfect cubes.
2. 64
64 is the largest 2-digit numbers which are also perfect cubes.
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1) 27 and 64 are the smallest and largest 2 digit perfect cubes .
2) The highest 3 digit number is 999 which is not the perfect cube. Nearest number which is perfect cube is 1000 and cube root is 10 but the number is of 4 digits. So the required cube root must be less than 10, so we will try one by one. Cube of 6 = 216; sum of digits = 9 which is a perfect square.
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