Given the statement, P must be an integer such that \(P^2\) is divisible by 12.
Let's start by writing the multiples of 12 to see if we get a perfect square.
12, 24, 36, 48,....
Notice that 36 is a perfect square of 6. Hence P=6.
Then, \(P^3=6^3\). Hence, the answer is D.
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