If 504 + P is a perfect cube number, whose cube root is P, then P = _________ .

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Solution

The correct option is D 8
Given: 504 + P is a perfect cube number.
Perfect cube number that is nearer to 504 is 512.
So, we need to add 512-504 = 8 to make 504 a perfect cube.
Also, $\sqrt[3]{512} = 8$
$∴$ P = 8
because, 504 + P = 504+8 = 512 is a perfect cube with cube root 8.

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