Question $1(25$ Points$)$: The part below will be manufactured using the selective laser sintering process. It is proposed that sintering be performed using a uniform layer thickness of $0\mathrm{.}1\backslash (\backslash$mathrm$\{$mm$\}/\backslash )$ layer. The part will be built in one of the three orientations $(\backslash (\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$B$\},\backslash$mathrm$\{$or$\}\backslash$mathrm$\{$C$\}\backslash )),$ as shown below.

Given:

All dimensions are in mm$.$

The thickness of the part is $20$ mm $.$

The build direction is vertical for all the orientations

The substrate$/$ build plate is shown as a black line $5$ mm below the part. This is standard procedure to make it easy to remove the part from the substrate. We also need to create support structures from the part to the substrate. For the three orientations shown, identify the regions requiring support structures and sketch the support structures for each built orientation. $($Hint: The angle criteria for the surfaces that require support structure is $45$ degrees with the horizontal axis$)$

a$.$ Calculate the total volume of the support structure required if the part is built along:

i$.$ Orientation A

ii$.$ Orientation B

iii. Orientation C

b$.$ Suggest the best build orientation based on the volume of support structure required.