A square tube has a cross$-$section with an outside dimension of the square $=50$ mm and the inside dimension $=40$ mm$,$ the height of the tube $($z$-$direction$)$ is $=100$ mm$.$ It is to be fabricated using additive manufacturing. Compute an estimate of the part volume and support volume to build the pipe in three different orientations. $($i$)$ Height along the vertical direction. $($ii$)$ Height along the horizontal direction