A

Step 1: Understand the concept of moment of inertia (I). It is defined as the sum of the products of mass elements of a body and the square of their distances from the axis of rotation. Mathematically, it can be expressed as:
$$ I = \int r^2 dm $$
where $r$ is the distance from the axis of rotation and $dm$ is the mass element.

Step 2: For bodies where the axis of rotation is parallel to one of the dimensions, the moment of inertia changes only with respect to dimensions that are perpendicular to this axis. The longer a body is in the dimension parallel to the rotation axis, it will not affect how far the mass is located from that axis.

Step 3: For shapes like rectangular prisms, cylinders, etc., if we take a dimension parallel to the axis of rotation (let’s say height for a cylinder), increasing that height will increase the mass but will not increase the distance of any of that mass from the axis. Thus, the moment of inertia about that axis remains unchanged in relation to this dimension.

Therefore, the statement that the moment of inertia of a body is independent of the dimension of the body parallel to the axis of rotation is true.
Therefore, A.