A three digit number which is both perfect square
and perfect cube whose unit's place digit is
A 1
B 4
с
9
D 6
Answers
Since there are less than ten 3 digit perfect cubes, the quickest way to answer the question is simply to sum the digits of each of them in town and see which of those sums, if any, are perfect squares.
The 3 digit perfect cubes are:
5³ = 125.
6³ = 216.
7³ = 343.
8³ = 512.
9³ = 729.
The sums of the digits of each of these five numbers is:
1+2+5 = 8, which is not a square.
2+1+6 = 9, which is a square.
3+4+3 = 10, which is not a square.
5+1+2 = 8, which is not a square.
7+2+9 = 18, which is not a square.
So there is one and only one three digit perfect cube the sum of the digits of which is a perfect square, and that is 216. 216 is the cube of 6 and the sum of the digits of 216 is 9, which is the square of 3.
Hope this helps you out .....
Answer:
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