Additional information is required to solve for the value of u in the context of the surface area of a rectangular prism. The volume of a sphere is calculated using the formula 4/3 πr³.
To solve for the value of u, given that the surface area of a rectangular prism is 16,618 square inches, we would require more information about the dimensions of the prism. In general, the surface area of a rectangular prism is calculated by the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism. Without knowing how u relates to these dimensions, or the values of the other dimensions, it's not possible to calculate the value of u. For the volume of a sphere, the correct formula is 4/3 πr³, where r is the radius of the sphere. This formula is derived using integral calculus, considering the geometry of the sphere.