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The question cannot be answered in any sensible way.

The weight will depend on the volume of the oak, its density and the force of gravity acting on it.

There is no information on the volume. The available information suggests that it is a 1 inch square - a 2-dimensional concept. Such an object cannot exist because no matter how thin, a square of oak MUST have a thickness and so is a three dimensional object - a cuboid (or square prism).

The density of oak will vary from sample to sample - depending, for example, on how dry it is.

Finally, the force of gravity varies by upto 5% on the surface of the earth. Up mountains and down deep mines the variation will be larger. And, taking things to an extreme, the force of gravity will be 0 at some points in space (Lagrange points and deep space) and infinitely large at others (inside black hole horizons). By suitable choice of location, an object could be made to weigh any amount you like.

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Q: How much does 1 square in of oak weigh?
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