SAT Lines, angles, and triangles Question

Note: Figure not drawn to scale. In the figure, RT = TU, the measure of angle VST is $23^{\circ }$ , and the measure of angle RVS is $34^{\circ }$ , What is the value of x? A cube has an edge length of 82 inches. A solid sphere with a radius of 41 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?