Given: A $10$ cm by $15$ cm by $1$ m $($into the paper$)$ section of wall is shown in the diagram. The thermal

conductivities for the materials are $k_A=k_D=10\frac{W}{m}K,k_B=1\frac{W}{m}K,$ and $k_C=100\frac{W}{m}K.$

Neglect thermal contact resistance in the upcoming calculations.

Find: a$)$ Make a sketch of the thermal resistance network for the wall for the x$-$direction. Assume the

top and bottom surfaces are insulated. b$)$ Calculate the sum of thermal resistances for one$-$

dimensional conduction in the $x-$direction. c$)$ Calculate the sum of thermal resistances for one$-$

dimensional conduction heat transfer in the $y-$direction, assuming that the left and right faces

are insulated.