A motor yacht has the initial characteristics listed below when operating in seawater.

$L_{PP}=139\mathrm{.}8ft,B=26\mathrm{.}6ft,T=4\mathrm{.}52ft$

$I_T=152,000f{t}^4,I_{Lfp}=22,600,000f{t}^4,L_{CF}=83\mathrm{.}0ft(aftofFP)$

$C_M=0\mathrm{.}672,$grad$=9698f{t}^3,C_{\text{A}\text{W}\text{P}}=0\mathrm{.}729$

a$.)$ Find the area of the waterplane

b$.)$ Find the least longitudinal second moment of area

c$.)$ Find the block coefficient $C_B$

d$.)$ Find the prismatic coefficient $C_P$